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Finding the Fourth Proportional to 472,731.69, 709,103.67 and 157,188.60

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Solution

The fourth proportional to 472,731.69, 709,103.67 and 157,188.60 is: 235,784.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,731.69 : 709,103.67 = 157,188.60 : x
  2. Step 2: Convert to fraction form
    472,731.69/709,103.67 = 157,188.60/x
  3. Step 3: Cross multiply
    472,731.69x = 709,103.67 × 157,188.60
  4. Step 4: Simplify right side
    472,731.69x = 111,463,013,142.16
  5. Step 5: Solve for x
    x = 111,463,013,142.16/472,731.69
  6. Step 6: Final answer
    x = 235,784.94

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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.