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Finding the Fourth Proportional to 356,959.80, 535,698.66 and 287,675.64

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Solution

The fourth proportional to 356,959.80, 535,698.66 and 287,675.64 is: 431,722.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,959.80 : 535,698.66 = 287,675.64 : x
  2. Step 2: Convert to fraction form
    356,959.80/535,698.66 = 287,675.64/x
  3. Step 3: Cross multiply
    356,959.80x = 535,698.66 × 287,675.64
  4. Step 4: Simplify right side
    356,959.80x = 154,107,454,862.64
  5. Step 5: Solve for x
    x = 154,107,454,862.64/356,959.80
  6. Step 6: Final answer
    x = 431,722.16

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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.