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Finding the Fourth Proportional to 567,024.60, 782,485.20 and 312,384.90

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Solution

The fourth proportional to 567,024.60, 782,485.20 and 312,384.90 is: 431,086.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,024.60 : 782,485.20 = 312,384.90 : x
  2. Step 2: Convert to fraction form
    567,024.60/782,485.20 = 312,384.90/x
  3. Step 3: Cross multiply
    567,024.60x = 782,485.20 × 312,384.90
  4. Step 4: Simplify right side
    567,024.60x = 244,436,560,953.48
  5. Step 5: Solve for x
    x = 244,436,560,953.48/567,024.60
  6. Step 6: Final answer
    x = 431,086.34

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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.