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Finding the Fourth Proportional to 423,521.31, 584,460.32 and 232,546.80

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Solution

The fourth proportional to 423,521.31, 584,460.32 and 232,546.80 is: 320,915.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,521.31 : 584,460.32 = 232,546.80 : x
  2. Step 2: Convert to fraction form
    423,521.31/584,460.32 = 232,546.80/x
  3. Step 3: Cross multiply
    423,521.31x = 584,460.32 × 232,546.80
  4. Step 4: Simplify right side
    423,521.31x = 135,914,375,980.24
  5. Step 5: Solve for x
    x = 135,914,375,980.24/423,521.31
  6. Step 6: Final answer
    x = 320,915.08

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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.