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Finding the Fourth Proportional to 304,874.30, 457,311.45 and 83,258.30

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Solution

The fourth proportional to 304,874.30, 457,311.45 and 83,258.30 is: 124,887.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,874.30 : 457,311.45 = 83,258.30 : x
  2. Step 2: Convert to fraction form
    304,874.30/457,311.45 = 83,258.30/x
  3. Step 3: Cross multiply
    304,874.30x = 457,311.45 × 83,258.30
  4. Step 4: Simplify right side
    304,874.30x = 38,074,973,897.54
  5. Step 5: Solve for x
    x = 38,074,973,897.54/304,874.30
  6. Step 6: Final answer
    x = 124,887.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.