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Finding the Fourth Proportional to 567,021.94, 782,490.22 and 312,373.12

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Solution

The fourth proportional to 567,021.94, 782,490.22 and 312,373.12 is: 431,074.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,021.94 : 782,490.22 = 312,373.12 : x
  2. Step 2: Convert to fraction form
    567,021.94/782,490.22 = 312,373.12/x
  3. Step 3: Cross multiply
    567,021.94x = 782,490.22 × 312,373.12
  4. Step 4: Simplify right side
    567,021.94x = 244,428,911,390.89
  5. Step 5: Solve for x
    x = 244,428,911,390.89/567,021.94
  6. Step 6: Final answer
    x = 431,074.87

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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.