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Finding the Fourth Proportional to 435,566, 653,597.40 and 169,291.82

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Solution

The fourth proportional to 435,566, 653,597.40 and 169,291.82 is: 254,034.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,566 : 653,597.40 = 169,291.82 : x
  2. Step 2: Convert to fraction form
    435,566/653,597.40 = 169,291.82/x
  3. Step 3: Cross multiply
    435,566x = 653,597.40 × 169,291.82
  4. Step 4: Simplify right side
    435,566x = 110,648,693,393.27
  5. Step 5: Solve for x
    x = 110,648,693,393.27/435,566
  6. Step 6: Final answer
    x = 254,034.28

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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.