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Finding the Fourth Proportional to 415,823.76, 573,837.12 and 224,837.28

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Solution

The fourth proportional to 415,823.76, 573,837.12 and 224,837.28 is: 310,275.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,823.76 : 573,837.12 = 224,837.28 : x
  2. Step 2: Convert to fraction form
    415,823.76/573,837.12 = 224,837.28/x
  3. Step 3: Cross multiply
    415,823.76x = 573,837.12 × 224,837.28
  4. Step 4: Simplify right side
    415,823.76x = 129,019,977,223.83
  5. Step 5: Solve for x
    x = 129,019,977,223.83/415,823.76
  6. Step 6: Final answer
    x = 310,275.63

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