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Finding the Fourth Proportional to 409,295.88, 614,080.45 and 181,560.08

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Solution

The fourth proportional to 409,295.88, 614,080.45 and 181,560.08 is: 272,400.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,295.88 : 614,080.45 = 181,560.08 : x
  2. Step 2: Convert to fraction form
    409,295.88/614,080.45 = 181,560.08/x
  3. Step 3: Cross multiply
    409,295.88x = 614,080.45 × 181,560.08
  4. Step 4: Simplify right side
    409,295.88x = 111,492,495,055.25
  5. Step 5: Solve for x
    x = 111,492,495,055.25/409,295.88
  6. Step 6: Final answer
    x = 272,400.73

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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.