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Finding the Fourth Proportional to 423,412.52, 584,306.98 and 232,429.16

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Solution

The fourth proportional to 423,412.52, 584,306.98 and 232,429.16 is: 320,750.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,412.52 : 584,306.98 = 232,429.16 : x
  2. Step 2: Convert to fraction form
    423,412.52/584,306.98 = 232,429.16/x
  3. Step 3: Cross multiply
    423,412.52x = 584,306.98 × 232,429.16
  4. Step 4: Simplify right side
    423,412.52x = 135,809,980,543.54
  5. Step 5: Solve for x
    x = 135,809,980,543.54/423,412.52
  6. Step 6: Final answer
    x = 320,750.98

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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.