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Finding the Fourth Proportional to 513,060.33, 708,223.05 and 459,252.21

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Solution

The fourth proportional to 513,060.33, 708,223.05 and 459,252.21 is: 633,946.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,060.33 : 708,223.05 = 459,252.21 : x
  2. Step 2: Convert to fraction form
    513,060.33/708,223.05 = 459,252.21/x
  3. Step 3: Cross multiply
    513,060.33x = 708,223.05 × 459,252.21
  4. Step 4: Simplify right side
    513,060.33x = 325,253,000,885.44
  5. Step 5: Solve for x
    x = 325,253,000,885.44/513,060.33
  6. Step 6: Final answer
    x = 633,946.89

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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.