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Finding the Fourth Proportional to 497,151, 745,756.06 and 155,658.38

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Solution

The fourth proportional to 497,151, 745,756.06 and 155,658.38 is: 233,496.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,151 : 745,756.06 = 155,658.38 : x
  2. Step 2: Convert to fraction form
    497,151/745,756.06 = 155,658.38/x
  3. Step 3: Cross multiply
    497,151x = 745,756.06 × 155,658.38
  4. Step 4: Simplify right side
    497,151x = 116,083,180,174.78
  5. Step 5: Solve for x
    x = 116,083,180,174.78/497,151
  6. Step 6: Final answer
    x = 233,496.83

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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.