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Finding the Fourth Proportional to 314,189.90, 471,213.84 and 89,545.52

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Solution

The fourth proportional to 314,189.90, 471,213.84 and 89,545.52 is: 134,298.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,189.90 : 471,213.84 = 89,545.52 : x
  2. Step 2: Convert to fraction form
    314,189.90/471,213.84 = 89,545.52/x
  3. Step 3: Cross multiply
    314,189.90x = 471,213.84 × 89,545.52
  4. Step 4: Simplify right side
    314,189.90x = 42,195,088,334.00
  5. Step 5: Solve for x
    x = 42,195,088,334.00/314,189.90
  6. Step 6: Final answer
    x = 134,298.04

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1.5x scale

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.