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Finding the Fourth Proportional to 403,216.20, 604,897.20 and 203,032.80

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Solution

The fourth proportional to 403,216.20, 604,897.20 and 203,032.80 is: 304,585.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,216.20 : 604,897.20 = 203,032.80 : x
  2. Step 2: Convert to fraction form
    403,216.20/604,897.20 = 203,032.80/x
  3. Step 3: Cross multiply
    403,216.20x = 604,897.20 × 203,032.80
  4. Step 4: Simplify right side
    403,216.20x = 122,813,972,228.16
  5. Step 5: Solve for x
    x = 122,813,972,228.16/403,216.20
  6. Step 6: Final answer
    x = 304,585.91

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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.