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Finding the Fourth Proportional to 701,613.12, 1,052,405.10 and 280,776

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Solution

The fourth proportional to 701,613.12, 1,052,405.10 and 280,776 is: 421,158.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,613.12 : 1,052,405.10 = 280,776 : x
  2. Step 2: Convert to fraction form
    701,613.12/1,052,405.10 = 280,776/x
  3. Step 3: Cross multiply
    701,613.12x = 1,052,405.10 × 280,776
  4. Step 4: Simplify right side
    701,613.12x = 295,490,094,357.60
  5. Step 5: Solve for x
    x = 295,490,094,357.60/701,613.12
  6. Step 6: Final answer
    x = 421,158.17

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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.