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Finding the Fourth Proportional to 423,253.59, 584,097.12 and 232,284.75

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Solution

The fourth proportional to 423,253.59, 584,097.12 and 232,284.75 is: 320,556.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,253.59 : 584,097.12 = 232,284.75 : x
  2. Step 2: Convert to fraction form
    423,253.59/584,097.12 = 232,284.75/x
  3. Step 3: Cross multiply
    423,253.59x = 584,097.12 × 232,284.75
  4. Step 4: Simplify right side
    423,253.59x = 135,676,853,494.92
  5. Step 5: Solve for x
    x = 135,676,853,494.92/423,253.59
  6. Step 6: Final answer
    x = 320,556.89

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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.