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Finding the Fourth Proportional to 651,691.71, 899,077.98 and 406,533.80

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Solution

The fourth proportional to 651,691.71, 899,077.98 and 406,533.80 is: 560,856.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,691.71 : 899,077.98 = 406,533.80 : x
  2. Step 2: Convert to fraction form
    651,691.71/899,077.98 = 406,533.80/x
  3. Step 3: Cross multiply
    651,691.71x = 899,077.98 × 406,533.80
  4. Step 4: Simplify right side
    651,691.71x = 365,505,587,705.72
  5. Step 5: Solve for x
    x = 365,505,587,705.72/651,691.71
  6. Step 6: Final answer
    x = 560,856.59

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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.