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Finding the Fourth Proportional to 541,865.57, 747,703.59 and 312,431.45

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Solution

The fourth proportional to 541,865.57, 747,703.59 and 312,431.45 is: 431,114.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,865.57 : 747,703.59 = 312,431.45 : x
  2. Step 2: Convert to fraction form
    541,865.57/747,703.59 = 312,431.45/x
  3. Step 3: Cross multiply
    541,865.57x = 747,703.59 × 312,431.45
  4. Step 4: Simplify right side
    541,865.57x = 233,606,116,793.91
  5. Step 5: Solve for x
    x = 233,606,116,793.91/541,865.57
  6. Step 6: Final answer
    x = 431,114.52

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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.