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Finding the Fourth Proportional to 415,705.84, 573,670.40 and 224,717.52

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Solution

The fourth proportional to 415,705.84, 573,670.40 and 224,717.52 is: 310,108.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,705.84 : 573,670.40 = 224,717.52 : x
  2. Step 2: Convert to fraction form
    415,705.84/573,670.40 = 224,717.52/x
  3. Step 3: Cross multiply
    415,705.84x = 573,670.40 × 224,717.52
  4. Step 4: Simplify right side
    415,705.84x = 128,913,789,585.41
  5. Step 5: Solve for x
    x = 128,913,789,585.41/415,705.84
  6. Step 6: Final answer
    x = 310,108.20

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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.