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Finding the Fourth Proportional to 423,206.52, 584,023.38 and 232,223.10

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Solution

The fourth proportional to 423,206.52, 584,023.38 and 232,223.10 is: 320,466.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,206.52 : 584,023.38 = 232,223.10 : x
  2. Step 2: Convert to fraction form
    423,206.52/584,023.38 = 232,223.10/x
  3. Step 3: Cross multiply
    423,206.52x = 584,023.38 × 232,223.10
  4. Step 4: Simplify right side
    423,206.52x = 135,623,719,776.08
  5. Step 5: Solve for x
    x = 135,623,719,776.08/423,206.52
  6. Step 6: Final answer
    x = 320,466.99

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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.