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Finding the Fourth Proportional to 417,935.88, 626,897.10 and 165,218.71

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Solution

The fourth proportional to 417,935.88, 626,897.10 and 165,218.71 is: 247,825.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,935.88 : 626,897.10 = 165,218.71 : x
  2. Step 2: Convert to fraction form
    417,935.88/626,897.10 = 165,218.71/x
  3. Step 3: Cross multiply
    417,935.88x = 626,897.10 × 165,218.71
  4. Step 4: Simplify right side
    417,935.88x = 103,575,130,761.62
  5. Step 5: Solve for x
    x = 103,575,130,761.62/417,935.88
  6. Step 6: Final answer
    x = 247,825.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.