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Finding the Fourth Proportional to 582,132.30, 873,198.45 and 512,148.30

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Solution

The fourth proportional to 582,132.30, 873,198.45 and 512,148.30 is: 768,222.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,132.30 : 873,198.45 = 512,148.30 : x
  2. Step 2: Convert to fraction form
    582,132.30/873,198.45 = 512,148.30/x
  3. Step 3: Cross multiply
    582,132.30x = 873,198.45 × 512,148.30
  4. Step 4: Simplify right side
    582,132.30x = 447,207,101,730.14
  5. Step 5: Solve for x
    x = 447,207,101,730.14/582,132.30
  6. Step 6: Final answer
    x = 768,222.45

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.