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Finding the Fourth Proportional to 415,210.31, 572,990.24 and 224,223.71

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Solution

The fourth proportional to 415,210.31, 572,990.24 and 224,223.71 is: 309,428.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,210.31 : 572,990.24 = 224,223.71 : x
  2. Step 2: Convert to fraction form
    415,210.31/572,990.24 = 224,223.71/x
  3. Step 3: Cross multiply
    415,210.31x = 572,990.24 × 224,223.71
  4. Step 4: Simplify right side
    415,210.31x = 128,477,993,840.94
  5. Step 5: Solve for x
    x = 128,477,993,840.94/415,210.31
  6. Step 6: Final answer
    x = 309,428.71

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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.