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Finding the Fourth Proportional to 415,712.84, 573,680.06 and 224,724.52

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Solution

The fourth proportional to 415,712.84, 573,680.06 and 224,724.52 is: 310,117.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,712.84 : 573,680.06 = 224,724.52 : x
  2. Step 2: Convert to fraction form
    415,712.84/573,680.06 = 224,724.52/x
  3. Step 3: Cross multiply
    415,712.84x = 573,680.06 × 224,724.52
  4. Step 4: Simplify right side
    415,712.84x = 128,919,976,117.07
  5. Step 5: Solve for x
    x = 128,919,976,117.07/415,712.84
  6. Step 6: Final answer
    x = 310,117.86

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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.