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Finding the Fourth Proportional to 610,429.52, 914,463.48 and 343,378.64

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Solution

The fourth proportional to 610,429.52, 914,463.48 and 343,378.64 is: 514,403.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,429.52 : 914,463.48 = 343,378.64 : x
  2. Step 2: Convert to fraction form
    610,429.52/914,463.48 = 343,378.64/x
  3. Step 3: Cross multiply
    610,429.52x = 914,463.48 × 343,378.64
  4. Step 4: Simplify right side
    610,429.52x = 314,007,226,092.07
  5. Step 5: Solve for x
    x = 314,007,226,092.07/610,429.52
  6. Step 6: Final answer
    x = 514,403.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.