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Finding the Fourth Proportional to 541,813.14, 747,710.04 and 312,366.48

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Solution

The fourth proportional to 541,813.14, 747,710.04 and 312,366.48 is: 431,070.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,813.14 : 747,710.04 = 312,366.48 : x
  2. Step 2: Convert to fraction form
    541,813.14/747,710.04 = 312,366.48/x
  3. Step 3: Cross multiply
    541,813.14x = 747,710.04 × 312,366.48
  4. Step 4: Simplify right side
    541,813.14x = 233,559,553,255.46
  5. Step 5: Solve for x
    x = 233,559,553,255.46/541,813.14
  6. Step 6: Final answer
    x = 431,070.30

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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.