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Finding the Fourth Proportional to 419,565.24, 629,896.70 and 249,098.20

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Solution

The fourth proportional to 419,565.24, 629,896.70 and 249,098.20 is: 373,973.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,565.24 : 629,896.70 = 249,098.20 : x
  2. Step 2: Convert to fraction form
    419,565.24/629,896.70 = 249,098.20/x
  3. Step 3: Cross multiply
    419,565.24x = 629,896.70 × 249,098.20
  4. Step 4: Simplify right side
    419,565.24x = 156,906,134,155.94
  5. Step 5: Solve for x
    x = 156,906,134,155.94/419,565.24
  6. Step 6: Final answer
    x = 373,973.15

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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.