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Finding the Fourth Proportional to 514,143.98, 710,257.74 and 410,642.29

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Solution

The fourth proportional to 514,143.98, 710,257.74 and 410,642.29 is: 567,276.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,143.98 : 710,257.74 = 410,642.29 : x
  2. Step 2: Convert to fraction form
    514,143.98/710,257.74 = 410,642.29/x
  3. Step 3: Cross multiply
    514,143.98x = 710,257.74 × 410,642.29
  4. Step 4: Simplify right side
    514,143.98x = 291,661,862,506.40
  5. Step 5: Solve for x
    x = 291,661,862,506.40/514,143.98
  6. Step 6: Final answer
    x = 567,276.62

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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.