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Finding the Fourth Proportional to 423,257.64, 584,102.64 and 232,288.80

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Solution

The fourth proportional to 423,257.64, 584,102.64 and 232,288.80 is: 320,562.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,257.64 : 584,102.64 = 232,288.80 : x
  2. Step 2: Convert to fraction form
    423,257.64/584,102.64 = 232,288.80/x
  3. Step 3: Cross multiply
    423,257.64x = 584,102.64 × 232,288.80
  4. Step 4: Simplify right side
    423,257.64x = 135,680,501,322.43
  5. Step 5: Solve for x
    x = 135,680,501,322.43/423,257.64
  6. Step 6: Final answer
    x = 320,562.44

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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.