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Finding the Fourth Proportional to 415,214.64, 572,996.21 and 224,228.02

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Solution

The fourth proportional to 415,214.64, 572,996.21 and 224,228.02 is: 309,434.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,214.64 : 572,996.21 = 224,228.02 : x
  2. Step 2: Convert to fraction form
    415,214.64/572,996.21 = 224,228.02/x
  3. Step 3: Cross multiply
    415,214.64x = 572,996.21 × 224,228.02
  4. Step 4: Simplify right side
    415,214.64x = 128,481,803,082.17
  5. Step 5: Solve for x
    x = 128,481,803,082.17/415,214.64
  6. Step 6: Final answer
    x = 309,434.66

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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.