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Finding the Fourth Proportional to 497,476.10, 746,320.40 and 160,535.90

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Solution

The fourth proportional to 497,476.10, 746,320.40 and 160,535.90 is: 240,838.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,476.10 : 746,320.40 = 160,535.90 : x
  2. Step 2: Convert to fraction form
    497,476.10/746,320.40 = 160,535.90/x
  3. Step 3: Cross multiply
    497,476.10x = 746,320.40 × 160,535.90
  4. Step 4: Simplify right side
    497,476.10x = 119,811,217,102.36
  5. Step 5: Solve for x
    x = 119,811,217,102.36/497,476.10
  6. Step 6: Final answer
    x = 240,838.14

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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.