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Finding the Fourth Proportional to 468,643.70, 702,965.55 and 113,657.15

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Solution

The fourth proportional to 468,643.70, 702,965.55 and 113,657.15 is: 170,485.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,643.70 : 702,965.55 = 113,657.15 : x
  2. Step 2: Convert to fraction form
    468,643.70/702,965.55 = 113,657.15/x
  3. Step 3: Cross multiply
    468,643.70x = 702,965.55 × 113,657.15
  4. Step 4: Simplify right side
    468,643.70x = 79,897,060,961.18
  5. Step 5: Solve for x
    x = 79,897,060,961.18/468,643.70
  6. Step 6: Final answer
    x = 170,485.73

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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.