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Finding the Fourth Proportional to 415,774.39, 573,768.60 and 224,787.78

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Solution

The fourth proportional to 415,774.39, 573,768.60 and 224,787.78 is: 310,207.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,774.39 : 573,768.60 = 224,787.78 : x
  2. Step 2: Convert to fraction form
    415,774.39/573,768.60 = 224,787.78/x
  3. Step 3: Cross multiply
    415,774.39x = 573,768.60 × 224,787.78
  4. Step 4: Simplify right side
    415,774.39x = 128,976,169,827.71
  5. Step 5: Solve for x
    x = 128,976,169,827.71/415,774.39
  6. Step 6: Final answer
    x = 310,207.10

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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.