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Finding the Fourth Proportional to 415,210.54, 572,990.54 and 224,223.93

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Solution

The fourth proportional to 415,210.54, 572,990.54 and 224,223.93 is: 309,429.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,210.54 : 572,990.54 = 224,223.93 : x
  2. Step 2: Convert to fraction form
    415,210.54/572,990.54 = 224,223.93/x
  3. Step 3: Cross multiply
    415,210.54x = 572,990.54 × 224,223.93
  4. Step 4: Simplify right side
    415,210.54x = 128,478,187,866.67
  5. Step 5: Solve for x
    x = 128,478,187,866.67/415,210.54
  6. Step 6: Final answer
    x = 309,429.02

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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.