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Finding the Fourth Proportional to 385,382.80, 576,713.40 and 336,005.20

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Solution

The fourth proportional to 385,382.80, 576,713.40 and 336,005.20 is: 502,821.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,382.80 : 576,713.40 = 336,005.20 : x
  2. Step 2: Convert to fraction form
    385,382.80/576,713.40 = 336,005.20/x
  3. Step 3: Cross multiply
    385,382.80x = 576,713.40 × 336,005.20
  4. Step 4: Simplify right side
    385,382.80x = 193,778,701,309.68
  5. Step 5: Solve for x
    x = 193,778,701,309.68/385,382.80
  6. Step 6: Final answer
    x = 502,821.35

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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.