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Finding the Fourth Proportional to 423,489.22, 584,407.80 and 232,501.24

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Solution

The fourth proportional to 423,489.22, 584,407.80 and 232,501.24 is: 320,847.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,489.22 : 584,407.80 = 232,501.24 : x
  2. Step 2: Convert to fraction form
    423,489.22/584,407.80 = 232,501.24/x
  3. Step 3: Cross multiply
    423,489.22x = 584,407.80 × 232,501.24
  4. Step 4: Simplify right side
    423,489.22x = 135,875,538,165.67
  5. Step 5: Solve for x
    x = 135,875,538,165.67/423,489.22
  6. Step 6: Final answer
    x = 320,847.69

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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.