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Finding the Fourth Proportional to 374,656.40, 561,790.20 and 137,877.20

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Solution

The fourth proportional to 374,656.40, 561,790.20 and 137,877.20 is: 206,744.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,656.40 : 561,790.20 = 137,877.20 : x
  2. Step 2: Convert to fraction form
    374,656.40/561,790.20 = 137,877.20/x
  3. Step 3: Cross multiply
    374,656.40x = 561,790.20 × 137,877.20
  4. Step 4: Simplify right side
    374,656.40x = 77,458,059,763.44
  5. Step 5: Solve for x
    x = 77,458,059,763.44/374,656.40
  6. Step 6: Final answer
    x = 206,744.26

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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.