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Finding the Fourth Proportional to 282,350.40, 389,664 and 186,691.20

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Solution

The fourth proportional to 282,350.40, 389,664 and 186,691.20 is: 257,647.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,350.40 : 389,664 = 186,691.20 : x
  2. Step 2: Convert to fraction form
    282,350.40/389,664 = 186,691.20/x
  3. Step 3: Cross multiply
    282,350.40x = 389,664 × 186,691.20
  4. Step 4: Simplify right side
    282,350.40x = 72,746,839,756.80
  5. Step 5: Solve for x
    x = 72,746,839,756.80/282,350.40
  6. Step 6: Final answer
    x = 257,647.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.