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Finding the Fourth Proportional to 423,178.90, 583,997.62 and 232,192.24

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Solution

The fourth proportional to 423,178.90, 583,997.62 and 232,192.24 is: 320,431.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,178.90 : 583,997.62 = 232,192.24 : x
  2. Step 2: Convert to fraction form
    423,178.90/583,997.62 = 232,192.24/x
  3. Step 3: Cross multiply
    423,178.90x = 583,997.62 × 232,192.24
  4. Step 4: Simplify right side
    423,178.90x = 135,599,715,542.47
  5. Step 5: Solve for x
    x = 135,599,715,542.47/423,178.90
  6. Step 6: Final answer
    x = 320,431.18

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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.