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Finding the Fourth Proportional to 415,710.84, 573,677.30 and 224,722.52

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Solution

The fourth proportional to 415,710.84, 573,677.30 and 224,722.52 is: 310,115.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,710.84 : 573,677.30 = 224,722.52 : x
  2. Step 2: Convert to fraction form
    415,710.84/573,677.30 = 224,722.52/x
  3. Step 3: Cross multiply
    415,710.84x = 573,677.30 × 224,722.52
  4. Step 4: Simplify right side
    415,710.84x = 128,918,208,522.80
  5. Step 5: Solve for x
    x = 128,918,208,522.80/415,710.84
  6. Step 6: Final answer
    x = 310,115.10

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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.