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Finding the Fourth Proportional to 465,618.81, 698,317.43 and 128,652.08

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Solution

The fourth proportional to 465,618.81, 698,317.43 and 128,652.08 is: 192,947.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,618.81 : 698,317.43 = 128,652.08 : x
  2. Step 2: Convert to fraction form
    465,618.81/698,317.43 = 128,652.08/x
  3. Step 3: Cross multiply
    465,618.81x = 698,317.43 × 128,652.08
  4. Step 4: Simplify right side
    465,618.81x = 89,839,985,734.91
  5. Step 5: Solve for x
    x = 89,839,985,734.91/465,618.81
  6. Step 6: Final answer
    x = 192,947.50

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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.