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Finding the Fourth Proportional to 415,216.50, 572,998.77 and 224,229.90

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Solution

The fourth proportional to 415,216.50, 572,998.77 and 224,229.90 is: 309,437.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,216.50 : 572,998.77 = 224,229.90 : x
  2. Step 2: Convert to fraction form
    415,216.50/572,998.77 = 224,229.90/x
  3. Step 3: Cross multiply
    415,216.50x = 572,998.77 × 224,229.90
  4. Step 4: Simplify right side
    415,216.50x = 128,483,456,897.22
  5. Step 5: Solve for x
    x = 128,483,456,897.22/415,216.50
  6. Step 6: Final answer
    x = 309,437.26

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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.