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Finding the Fourth Proportional to 398,098.01, 596,726.36 and 271,424.24

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Solution

The fourth proportional to 398,098.01, 596,726.36 and 271,424.24 is: 406,849.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,098.01 : 596,726.36 = 271,424.24 : x
  2. Step 2: Convert to fraction form
    398,098.01/596,726.36 = 271,424.24/x
  3. Step 3: Cross multiply
    398,098.01x = 596,726.36 × 271,424.24
  4. Step 4: Simplify right side
    398,098.01x = 161,965,997,937.71
  5. Step 5: Solve for x
    x = 161,965,997,937.71/398,098.01
  6. Step 6: Final answer
    x = 406,849.55

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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.