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Finding the Fourth Proportional to 423,094.52, 583,870.50 and 232,107.86

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Solution

The fourth proportional to 423,094.52, 583,870.50 and 232,107.86 is: 320,308.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,094.52 : 583,870.50 = 232,107.86 : x
  2. Step 2: Convert to fraction form
    423,094.52/583,870.50 = 232,107.86/x
  3. Step 3: Cross multiply
    423,094.52x = 583,870.50 × 232,107.86
  4. Step 4: Simplify right side
    423,094.52x = 135,520,932,272.13
  5. Step 5: Solve for x
    x = 135,520,932,272.13/423,094.52
  6. Step 6: Final answer
    x = 320,308.88

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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.