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Finding the Fourth Proportional to 554,462.80, 765,158.12 and 299,813.38

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Solution

The fourth proportional to 554,462.80, 765,158.12 and 299,813.38 is: 413,742.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    554,462.80 : 765,158.12 = 299,813.38 : x
  2. Step 2: Convert to fraction form
    554,462.80/765,158.12 = 299,813.38/x
  3. Step 3: Cross multiply
    554,462.80x = 765,158.12 × 299,813.38
  4. Step 4: Simplify right side
    554,462.80x = 229,404,642,191.65
  5. Step 5: Solve for x
    x = 229,404,642,191.65/554,462.80
  6. Step 6: Final answer
    x = 413,742.17

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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.