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Finding the Fourth Proportional to 541,674.76, 747,509.95 and 312,230.52

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Solution

The fourth proportional to 541,674.76, 747,509.95 and 312,230.52 is: 430,877.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,674.76 : 747,509.95 = 312,230.52 : x
  2. Step 2: Convert to fraction form
    541,674.76/747,509.95 = 312,230.52/x
  3. Step 3: Cross multiply
    541,674.76x = 747,509.95 × 312,230.52
  4. Step 4: Simplify right side
    541,674.76x = 233,395,419,613.10
  5. Step 5: Solve for x
    x = 233,395,419,613.10/541,674.76
  6. Step 6: Final answer
    x = 430,877.42

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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.