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Finding the Fourth Proportional to 314,432.66, 471,576.08 and 89,787.26

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Solution

The fourth proportional to 314,432.66, 471,576.08 and 89,787.26 is: 134,660.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,432.66 : 471,576.08 = 89,787.26 : x
  2. Step 2: Convert to fraction form
    314,432.66/471,576.08 = 89,787.26/x
  3. Step 3: Cross multiply
    314,432.66x = 471,576.08 × 89,787.26
  4. Step 4: Simplify right side
    314,432.66x = 42,341,521,971.33
  5. Step 5: Solve for x
    x = 42,341,521,971.33/314,432.66
  6. Step 6: Final answer
    x = 134,660.07

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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.