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Finding the Fourth Proportional to 754,485.86, 1,041,199.17 and 414,959.78

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Solution

The fourth proportional to 754,485.86, 1,041,199.17 and 414,959.78 is: 572,649.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    754,485.86 : 1,041,199.17 = 414,959.78 : x
  2. Step 2: Convert to fraction form
    754,485.86/1,041,199.17 = 414,959.78/x
  3. Step 3: Cross multiply
    754,485.86x = 1,041,199.17 × 414,959.78
  4. Step 4: Simplify right side
    754,485.86x = 432,055,778,519.38
  5. Step 5: Solve for x
    x = 432,055,778,519.38/754,485.86
  6. Step 6: Final answer
    x = 572,649.27

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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.