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Finding the Fourth Proportional to 467,720.70, 702,099.45 and 290,427.90

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Solution

The fourth proportional to 467,720.70, 702,099.45 and 290,427.90 is: 435,963.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,720.70 : 702,099.45 = 290,427.90 : x
  2. Step 2: Convert to fraction form
    467,720.70/702,099.45 = 290,427.90/x
  3. Step 3: Cross multiply
    467,720.70x = 702,099.45 × 290,427.90
  4. Step 4: Simplify right side
    467,720.70x = 203,909,268,854.66
  5. Step 5: Solve for x
    x = 203,909,268,854.66/467,720.70
  6. Step 6: Final answer
    x = 435,963.75

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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.