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Finding the Fourth Proportional to 304,109.77, 455,882.40 and 144,260.69

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Solution

The fourth proportional to 304,109.77, 455,882.40 and 144,260.69 is: 216,257.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,109.77 : 455,882.40 = 144,260.69 : x
  2. Step 2: Convert to fraction form
    304,109.77/455,882.40 = 144,260.69/x
  3. Step 3: Cross multiply
    304,109.77x = 455,882.40 × 144,260.69
  4. Step 4: Simplify right side
    304,109.77x = 65,765,909,582.86
  5. Step 5: Solve for x
    x = 65,765,909,582.86/304,109.77
  6. Step 6: Final answer
    x = 216,257.14

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1.5x scale

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.