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Finding the Fourth Proportional to 567,193.52, 782,743.52 and 312,561.12

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Solution

The fourth proportional to 567,193.52, 782,743.52 and 312,561.12 is: 431,343.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,193.52 : 782,743.52 = 312,561.12 : x
  2. Step 2: Convert to fraction form
    567,193.52/782,743.52 = 312,561.12/x
  3. Step 3: Cross multiply
    567,193.52x = 782,743.52 × 312,561.12
  4. Step 4: Simplify right side
    567,193.52x = 244,655,191,283.94
  5. Step 5: Solve for x
    x = 244,655,191,283.94/567,193.52
  6. Step 6: Final answer
    x = 431,343.42

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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.