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Finding the Fourth Proportional to 385,080.84, 577,407.93 and 157,536.27

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Solution

The fourth proportional to 385,080.84, 577,407.93 and 157,536.27 is: 236,217.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,080.84 : 577,407.93 = 157,536.27 : x
  2. Step 2: Convert to fraction form
    385,080.84/577,407.93 = 157,536.27/x
  3. Step 3: Cross multiply
    385,080.84x = 577,407.93 × 157,536.27
  4. Step 4: Simplify right side
    385,080.84x = 90,962,691,560.62
  5. Step 5: Solve for x
    x = 90,962,691,560.62/385,080.84
  6. Step 6: Final answer
    x = 236,217.13

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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.