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Finding the Fourth Proportional to 542,960.10, 810,031.44 and 513,566.82

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Solution

The fourth proportional to 542,960.10, 810,031.44 and 513,566.82 is: 766,180.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,960.10 : 810,031.44 = 513,566.82 : x
  2. Step 2: Convert to fraction form
    542,960.10/810,031.44 = 513,566.82/x
  3. Step 3: Cross multiply
    542,960.10x = 810,031.44 × 513,566.82
  4. Step 4: Simplify right side
    542,960.10x = 416,005,270,740.82
  5. Step 5: Solve for x
    x = 416,005,270,740.82/542,960.10
  6. Step 6: Final answer
    x = 766,180.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.