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Finding the Fourth Proportional to 314,241.72, 471,366.96 and 89,602.24

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Solution

The fourth proportional to 314,241.72, 471,366.96 and 89,602.24 is: 134,404.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,241.72 : 471,366.96 = 89,602.24 : x
  2. Step 2: Convert to fraction form
    314,241.72/471,366.96 = 89,602.24/x
  3. Step 3: Cross multiply
    314,241.72x = 471,366.96 × 89,602.24
  4. Step 4: Simplify right side
    314,241.72x = 42,235,535,477.99
  5. Step 5: Solve for x
    x = 42,235,535,477.99/314,241.72
  6. Step 6: Final answer
    x = 134,404.61

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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.