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Finding the Fourth Proportional to 402,776.80, 604,126.24 and 122,296.48

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Solution

The fourth proportional to 402,776.80, 604,126.24 and 122,296.48 is: 183,432.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,776.80 : 604,126.24 = 122,296.48 : x
  2. Step 2: Convert to fraction form
    402,776.80/604,126.24 = 122,296.48/x
  3. Step 3: Cross multiply
    402,776.80x = 604,126.24 × 122,296.48
  4. Step 4: Simplify right side
    402,776.80x = 73,882,512,627.64
  5. Step 5: Solve for x
    x = 73,882,512,627.64/402,776.80
  6. Step 6: Final answer
    x = 183,432.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.