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Finding the Fourth Proportional to 314,151.92, 471,320.76 and 181,127.60

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Solution

The fourth proportional to 314,151.92, 471,320.76 and 181,127.60 is: 271,744.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,151.92 : 471,320.76 = 181,127.60 : x
  2. Step 2: Convert to fraction form
    314,151.92/471,320.76 = 181,127.60/x
  3. Step 3: Cross multiply
    314,151.92x = 471,320.76 × 181,127.60
  4. Step 4: Simplify right side
    314,151.92x = 85,369,198,088.98
  5. Step 5: Solve for x
    x = 85,369,198,088.98/314,151.92
  6. Step 6: Final answer
    x = 271,744.95

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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.