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Finding the Fourth Proportional to 314,252.66, 471,381.38 and 89,612.90

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Solution

The fourth proportional to 314,252.66, 471,381.38 and 89,612.90 is: 134,420.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,252.66 : 471,381.38 = 89,612.90 : x
  2. Step 2: Convert to fraction form
    314,252.66/471,381.38 = 89,612.90/x
  3. Step 3: Cross multiply
    314,252.66x = 471,381.38 × 89,612.90
  4. Step 4: Simplify right side
    314,252.66x = 42,241,854,922.15
  5. Step 5: Solve for x
    x = 42,241,854,922.15/314,252.66
  6. Step 6: Final answer
    x = 134,420.04

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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.