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Finding the Fourth Proportional to 477,542.25, 716,318.24 and 145,118.25

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Solution

The fourth proportional to 477,542.25, 716,318.24 and 145,118.25 is: 217,678.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,542.25 : 716,318.24 = 145,118.25 : x
  2. Step 2: Convert to fraction form
    477,542.25/716,318.24 = 145,118.25/x
  3. Step 3: Cross multiply
    477,542.25x = 716,318.24 × 145,118.25
  4. Step 4: Simplify right side
    477,542.25x = 103,950,848,706.29
  5. Step 5: Solve for x
    x = 103,950,848,706.29/477,542.25
  6. Step 6: Final answer
    x = 217,678.85

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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.