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Finding the Fourth Proportional to 304,110.77, 455,883.90 and 144,261.69

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Solution

The fourth proportional to 304,110.77, 455,883.90 and 144,261.69 is: 216,258.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,110.77 : 455,883.90 = 144,261.69 : x
  2. Step 2: Convert to fraction form
    304,110.77/455,883.90 = 144,261.69/x
  3. Step 3: Cross multiply
    304,110.77x = 455,883.90 × 144,261.69
  4. Step 4: Simplify right side
    304,110.77x = 65,766,581,857.79
  5. Step 5: Solve for x
    x = 65,766,581,857.79/304,110.77
  6. Step 6: Final answer
    x = 216,258.64

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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.