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Finding the Fourth Proportional to 514,955.93, 710,635.77 and 285,513.30

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Solution

The fourth proportional to 514,955.93, 710,635.77 and 285,513.30 is: 394,006.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,955.93 : 710,635.77 = 285,513.30 : x
  2. Step 2: Convert to fraction form
    514,955.93/710,635.77 = 285,513.30/x
  3. Step 3: Cross multiply
    514,955.93x = 710,635.77 × 285,513.30
  4. Step 4: Simplify right side
    514,955.93x = 202,895,963,790.74
  5. Step 5: Solve for x
    x = 202,895,963,790.74/514,955.93
  6. Step 6: Final answer
    x = 394,006.47

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Why These Related Problems?

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