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Finding the Fourth Proportional to 415,942.02, 574,000.02 and 224,955.36

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Solution

The fourth proportional to 415,942.02, 574,000.02 and 224,955.36 is: 310,438.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,942.02 : 574,000.02 = 224,955.36 : x
  2. Step 2: Convert to fraction form
    415,942.02/574,000.02 = 224,955.36/x
  3. Step 3: Cross multiply
    415,942.02x = 574,000.02 × 224,955.36
  4. Step 4: Simplify right side
    415,942.02x = 129,124,381,139.11
  5. Step 5: Solve for x
    x = 129,124,381,139.11/415,942.02
  6. Step 6: Final answer
    x = 310,438.41

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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.