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Finding the Fourth Proportional to 343,476.88, 515,363.64 and 185,816.40

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Solution

The fourth proportional to 343,476.88, 515,363.64 and 185,816.40 is: 278,804.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,476.88 : 515,363.64 = 185,816.40 : x
  2. Step 2: Convert to fraction form
    343,476.88/515,363.64 = 185,816.40/x
  3. Step 3: Cross multiply
    343,476.88x = 515,363.64 × 185,816.40
  4. Step 4: Simplify right side
    343,476.88x = 95,763,016,275.70
  5. Step 5: Solve for x
    x = 95,763,016,275.70/343,476.88
  6. Step 6: Final answer
    x = 278,804.84

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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.