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Finding the Fourth Proportional to 411,259.47, 616,825.41 and 158,658.23

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Solution

The fourth proportional to 411,259.47, 616,825.41 and 158,658.23 is: 237,962.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,259.47 : 616,825.41 = 158,658.23 : x
  2. Step 2: Convert to fraction form
    411,259.47/616,825.41 = 158,658.23/x
  3. Step 3: Cross multiply
    411,259.47x = 616,825.41 × 158,658.23
  4. Step 4: Simplify right side
    411,259.47x = 97,864,427,769.62
  5. Step 5: Solve for x
    x = 97,864,427,769.62/411,259.47
  6. Step 6: Final answer
    x = 237,962.73

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1.5x scale

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.