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Finding the Fourth Proportional to 542,476.02, 813,747.86 and 143,117.17

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Solution

The fourth proportional to 542,476.02, 813,747.86 and 143,117.17 is: 214,684.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,476.02 : 813,747.86 = 143,117.17 : x
  2. Step 2: Convert to fraction form
    542,476.02/813,747.86 = 143,117.17/x
  3. Step 3: Cross multiply
    542,476.02x = 813,747.86 × 143,117.17
  4. Step 4: Simplify right side
    542,476.02x = 116,461,290,816.76
  5. Step 5: Solve for x
    x = 116,461,290,816.76/542,476.02
  6. Step 6: Final answer
    x = 214,684.68

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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.