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Finding the Fourth Proportional to 403,616.80, 606,008.40 and 304,472.80

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Solution

The fourth proportional to 403,616.80, 606,008.40 and 304,472.80 is: 457,149.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,616.80 : 606,008.40 = 304,472.80 : x
  2. Step 2: Convert to fraction form
    403,616.80/606,008.40 = 304,472.80/x
  3. Step 3: Cross multiply
    403,616.80x = 606,008.40 × 304,472.80
  4. Step 4: Simplify right side
    403,616.80x = 184,513,074,371.52
  5. Step 5: Solve for x
    x = 184,513,074,371.52/403,616.80
  6. Step 6: Final answer
    x = 457,149.14

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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.