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Finding the Fourth Proportional to 567,494.20, 783,147.24 and 312,854.50

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Solution

The fourth proportional to 567,494.20, 783,147.24 and 312,854.50 is: 431,742.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,494.20 : 783,147.24 = 312,854.50 : x
  2. Step 2: Convert to fraction form
    567,494.20/783,147.24 = 312,854.50/x
  3. Step 3: Cross multiply
    567,494.20x = 783,147.24 × 312,854.50
  4. Step 4: Simplify right side
    567,494.20x = 245,011,138,196.58
  5. Step 5: Solve for x
    x = 245,011,138,196.58/567,494.20
  6. Step 6: Final answer
    x = 431,742.10

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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.