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Finding the Fourth Proportional to 410,712.90, 566,781.40 and 229,424.28

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Solution

The fourth proportional to 410,712.90, 566,781.40 and 229,424.28 is: 316,604.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,712.90 : 566,781.40 = 229,424.28 : x
  2. Step 2: Convert to fraction form
    410,712.90/566,781.40 = 229,424.28/x
  3. Step 3: Cross multiply
    410,712.90x = 566,781.40 × 229,424.28
  4. Step 4: Simplify right side
    410,712.90x = 130,033,414,612.39
  5. Step 5: Solve for x
    x = 130,033,414,612.39/410,712.90
  6. Step 6: Final answer
    x = 316,604.16

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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.