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Finding the Fourth Proportional to 684,116.54, 944,074.44 and 378,200.82

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Solution

The fourth proportional to 684,116.54, 944,074.44 and 378,200.82 is: 521,913.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,116.54 : 944,074.44 = 378,200.82 : x
  2. Step 2: Convert to fraction form
    684,116.54/944,074.44 = 378,200.82/x
  3. Step 3: Cross multiply
    684,116.54x = 944,074.44 × 378,200.82
  4. Step 4: Simplify right side
    684,116.54x = 357,049,727,349.04
  5. Step 5: Solve for x
    x = 357,049,727,349.04/684,116.54
  6. Step 6: Final answer
    x = 521,913.60

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Double scale
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1.5x scale

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.