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Finding the Fourth Proportional to 541,672.16, 747,506.38 and 312,227.93

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Solution

The fourth proportional to 541,672.16, 747,506.38 and 312,227.93 is: 430,873.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,672.16 : 747,506.38 = 312,227.93 : x
  2. Step 2: Convert to fraction form
    541,672.16/747,506.38 = 312,227.93/x
  3. Step 3: Cross multiply
    541,672.16x = 747,506.38 × 312,227.93
  4. Step 4: Simplify right side
    541,672.16x = 233,392,364,390.52
  5. Step 5: Solve for x
    x = 233,392,364,390.52/541,672.16
  6. Step 6: Final answer
    x = 430,873.84

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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.