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Finding the Fourth Proportional to 343,046.30, 514,569.45 and 106,412.90

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Solution

The fourth proportional to 343,046.30, 514,569.45 and 106,412.90 is: 159,619.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,046.30 : 514,569.45 = 106,412.90 : x
  2. Step 2: Convert to fraction form
    343,046.30/514,569.45 = 106,412.90/x
  3. Step 3: Cross multiply
    343,046.30x = 514,569.45 × 106,412.90
  4. Step 4: Simplify right side
    343,046.30x = 54,756,827,425.91
  5. Step 5: Solve for x
    x = 54,756,827,425.91/343,046.30
  6. Step 6: Final answer
    x = 159,619.35

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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.