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Finding the Fourth Proportional to 409,841.10, 614,848.05 and 173,061.90

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Solution

The fourth proportional to 409,841.10, 614,848.05 and 173,061.90 is: 259,629.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,841.10 : 614,848.05 = 173,061.90 : x
  2. Step 2: Convert to fraction form
    409,841.10/614,848.05 = 173,061.90/x
  3. Step 3: Cross multiply
    409,841.10x = 614,848.05 × 173,061.90
  4. Step 4: Simplify right side
    409,841.10x = 106,406,771,744.30
  5. Step 5: Solve for x
    x = 106,406,771,744.30/409,841.10
  6. Step 6: Final answer
    x = 259,629.33

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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.