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Finding the Fourth Proportional to 472,948.56, 652,615.56 and 271,809.36

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Solution

The fourth proportional to 472,948.56, 652,615.56 and 271,809.36 is: 375,066.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,948.56 : 652,615.56 = 271,809.36 : x
  2. Step 2: Convert to fraction form
    472,948.56/652,615.56 = 271,809.36/x
  3. Step 3: Cross multiply
    472,948.56x = 652,615.56 × 271,809.36
  4. Step 4: Simplify right side
    472,948.56x = 177,387,017,689.64
  5. Step 5: Solve for x
    x = 177,387,017,689.64/472,948.56
  6. Step 6: Final answer
    x = 375,066.20

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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.