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Finding the Fourth Proportional to 514,891.08, 710,549.57 and 285,447.80

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Solution

The fourth proportional to 514,891.08, 710,549.57 and 285,447.80 is: 393,917.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,891.08 : 710,549.57 = 285,447.80 : x
  2. Step 2: Convert to fraction form
    514,891.08/710,549.57 = 285,447.80/x
  3. Step 3: Cross multiply
    514,891.08x = 710,549.57 × 285,447.80
  4. Step 4: Simplify right side
    514,891.08x = 202,824,808,434.95
  5. Step 5: Solve for x
    x = 202,824,808,434.95/514,891.08
  6. Step 6: Final answer
    x = 393,917.89

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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.