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Finding the Fourth Proportional to 431,976, 596,125.17 and 240,989.16

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Solution

The fourth proportional to 431,976, 596,125.17 and 240,989.16 is: 332,564.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,976 : 596,125.17 = 240,989.16 : x
  2. Step 2: Convert to fraction form
    431,976/596,125.17 = 240,989.16/x
  3. Step 3: Cross multiply
    431,976x = 596,125.17 × 240,989.16
  4. Step 4: Simplify right side
    431,976x = 143,659,703,973.16
  5. Step 5: Solve for x
    x = 143,659,703,973.16/431,976
  6. Step 6: Final answer
    x = 332,564.09

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.