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Finding the Fourth Proportional to 541,763.15, 747,640.98 and 312,316.16

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Solution

The fourth proportional to 541,763.15, 747,640.98 and 312,316.16 is: 431,000.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,763.15 : 747,640.98 = 312,316.16 : x
  2. Step 2: Convert to fraction form
    541,763.15/747,640.98 = 312,316.16/x
  3. Step 3: Cross multiply
    541,763.15x = 747,640.98 × 312,316.16
  4. Step 4: Simplify right side
    541,763.15x = 233,500,356,194.03
  5. Step 5: Solve for x
    x = 233,500,356,194.03/541,763.15
  6. Step 6: Final answer
    x = 431,000.81

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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.