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Finding the Fourth Proportional to 385,489.26, 577,901.25 and 185,534.28

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Solution

The fourth proportional to 385,489.26, 577,901.25 and 185,534.28 is: 278,141.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,489.26 : 577,901.25 = 185,534.28 : x
  2. Step 2: Convert to fraction form
    385,489.26/577,901.25 = 185,534.28/x
  3. Step 3: Cross multiply
    385,489.26x = 577,901.25 × 185,534.28
  4. Step 4: Simplify right side
    385,489.26x = 107,220,492,329.85
  5. Step 5: Solve for x
    x = 107,220,492,329.85/385,489.26
  6. Step 6: Final answer
    x = 278,141.32

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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.