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Finding the Fourth Proportional to 442,233.96, 610,206.24 and 260,932.20

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Solution

The fourth proportional to 442,233.96, 610,206.24 and 260,932.20 is: 360,041.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,233.96 : 610,206.24 = 260,932.20 : x
  2. Step 2: Convert to fraction form
    442,233.96/610,206.24 = 260,932.20/x
  3. Step 3: Cross multiply
    442,233.96x = 610,206.24 × 260,932.20
  4. Step 4: Simplify right side
    442,233.96x = 159,222,456,656.93
  5. Step 5: Solve for x
    x = 159,222,456,656.93/442,233.96
  6. Step 6: Final answer
    x = 360,041.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.