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Finding the Fourth Proportional to 415,708.83, 573,678.63 and 224,722.26

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Solution

The fourth proportional to 415,708.83, 573,678.63 and 224,722.26 is: 310,116.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,708.83 : 573,678.63 = 224,722.26 : x
  2. Step 2: Convert to fraction form
    415,708.83/573,678.63 = 224,722.26/x
  3. Step 3: Cross multiply
    415,708.83x = 573,678.63 × 224,722.26
  4. Step 4: Simplify right side
    415,708.83x = 128,918,358,247.30
  5. Step 5: Solve for x
    x = 128,918,358,247.30/415,708.83
  6. Step 6: Final answer
    x = 310,116.96

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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.