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Finding the Fourth Proportional to 499,901.22, 689,237.91 and 417,233.88

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Solution

The fourth proportional to 499,901.22, 689,237.91 and 417,233.88 is: 575,260.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,901.22 : 689,237.91 = 417,233.88 : x
  2. Step 2: Convert to fraction form
    499,901.22/689,237.91 = 417,233.88/x
  3. Step 3: Cross multiply
    499,901.22x = 689,237.91 × 417,233.88
  4. Step 4: Simplify right side
    499,901.22x = 287,573,407,432.39
  5. Step 5: Solve for x
    x = 287,573,407,432.39/499,901.22
  6. Step 6: Final answer
    x = 575,260.46

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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.