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Finding the Fourth Proportional to 514,795.38, 710,171.88 and 342,792.66

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Solution

The fourth proportional to 514,795.38, 710,171.88 and 342,792.66 is: 472,890.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,795.38 : 710,171.88 = 342,792.66 : x
  2. Step 2: Convert to fraction form
    514,795.38/710,171.88 = 342,792.66/x
  3. Step 3: Cross multiply
    514,795.38x = 710,171.88 × 342,792.66
  4. Step 4: Simplify right side
    514,795.38x = 243,441,707,802.40
  5. Step 5: Solve for x
    x = 243,441,707,802.40/514,795.38
  6. Step 6: Final answer
    x = 472,890.23

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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.