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Finding the Fourth Proportional to 423,254.59, 584,098.50 and 232,285.75

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Solution

The fourth proportional to 423,254.59, 584,098.50 and 232,285.75 is: 320,558.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,254.59 : 584,098.50 = 232,285.75 : x
  2. Step 2: Convert to fraction form
    423,254.59/584,098.50 = 232,285.75/x
  3. Step 3: Cross multiply
    423,254.59x = 584,098.50 × 232,285.75
  4. Step 4: Simplify right side
    423,254.59x = 135,677,758,146.38
  5. Step 5: Solve for x
    x = 135,677,758,146.38/423,254.59
  6. Step 6: Final answer
    x = 320,558.27

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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.