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Finding the Fourth Proportional to 423,516.70, 584,454.05 and 232,542.39

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Solution

The fourth proportional to 423,516.70, 584,454.05 and 232,542.39 is: 320,909.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,516.70 : 584,454.05 = 232,542.39 : x
  2. Step 2: Convert to fraction form
    423,516.70/584,454.05 = 232,542.39/x
  3. Step 3: Cross multiply
    423,516.70x = 584,454.05 × 232,542.39
  4. Step 4: Simplify right side
    423,516.70x = 135,910,343,533.20
  5. Step 5: Solve for x
    x = 135,910,343,533.20/423,516.70
  6. Step 6: Final answer
    x = 320,909.05

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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.