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Finding the Fourth Proportional to 415,232, 573,020.80 and 236,384

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Solution

The fourth proportional to 415,232, 573,020.80 and 236,384 is: 326,210.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,232 : 573,020.80 = 236,384 : x
  2. Step 2: Convert to fraction form
    415,232/573,020.80 = 236,384/x
  3. Step 3: Cross multiply
    415,232x = 573,020.80 × 236,384
  4. Step 4: Simplify right side
    415,232x = 135,452,948,787.20
  5. Step 5: Solve for x
    x = 135,452,948,787.20/415,232
  6. Step 6: Final answer
    x = 326,210.28

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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.