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Finding the Fourth Proportional to 384,994.39, 577,103.83 and 160,479.10

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Solution

The fourth proportional to 384,994.39, 577,103.83 and 160,479.10 is: 240,557.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,994.39 : 577,103.83 = 160,479.10 : x
  2. Step 2: Convert to fraction form
    384,994.39/577,103.83 = 160,479.10/x
  3. Step 3: Cross multiply
    384,994.39x = 577,103.83 × 160,479.10
  4. Step 4: Simplify right side
    384,994.39x = 92,613,103,244.95
  5. Step 5: Solve for x
    x = 92,613,103,244.95/384,994.39
  6. Step 6: Final answer
    x = 240,557.02

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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.