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Finding the Fourth Proportional to 385,747.68, 578,713.86 and 160,983.12

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Solution

The fourth proportional to 385,747.68, 578,713.86 and 160,983.12 is: 241,513.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,747.68 : 578,713.86 = 160,983.12 : x
  2. Step 2: Convert to fraction form
    385,747.68/578,713.86 = 160,983.12/x
  3. Step 3: Cross multiply
    385,747.68x = 578,713.86 × 160,983.12
  4. Step 4: Simplify right side
    385,747.68x = 93,163,162,770.04
  5. Step 5: Solve for x
    x = 93,163,162,770.04/385,747.68
  6. Step 6: Final answer
    x = 241,513.22

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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.