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Finding the Fourth Proportional to 588,482, 812,118.12 and 320,210

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Solution

The fourth proportional to 588,482, 812,118.12 and 320,210 is: 441,896.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,482 : 812,118.12 = 320,210 : x
  2. Step 2: Convert to fraction form
    588,482/812,118.12 = 320,210/x
  3. Step 3: Cross multiply
    588,482x = 812,118.12 × 320,210
  4. Step 4: Simplify right side
    588,482x = 260,048,343,205.20
  5. Step 5: Solve for x
    x = 260,048,343,205.20/588,482
  6. Step 6: Final answer
    x = 441,896.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.