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Finding the Fourth Proportional to 567,080.68, 782,570.92 and 312,431.87

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Solution

The fourth proportional to 567,080.68, 782,570.92 and 312,431.87 is: 431,155.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,080.68 : 782,570.92 = 312,431.87 : x
  2. Step 2: Convert to fraction form
    567,080.68/782,570.92 = 312,431.87/x
  3. Step 3: Cross multiply
    567,080.68x = 782,570.92 × 312,431.87
  4. Step 4: Simplify right side
    567,080.68x = 244,500,095,943.22
  5. Step 5: Solve for x
    x = 244,500,095,943.22/567,080.68
  6. Step 6: Final answer
    x = 431,155.75

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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.