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Finding the Fourth Proportional to 567,113.34, 782,615.79 and 312,464.46

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Solution

The fourth proportional to 567,113.34, 782,615.79 and 312,464.46 is: 431,200.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,113.34 : 782,615.79 = 312,464.46 : x
  2. Step 2: Convert to fraction form
    567,113.34/782,615.79 = 312,464.46/x
  3. Step 3: Cross multiply
    567,113.34x = 782,615.79 × 312,464.46
  4. Step 4: Simplify right side
    567,113.34x = 244,539,620,209.82
  5. Step 5: Solve for x
    x = 244,539,620,209.82/567,113.34
  6. Step 6: Final answer
    x = 431,200.61

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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.