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Finding the Fourth Proportional to 385,079.86, 577,373.75 and 185,002.17

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Solution

The fourth proportional to 385,079.86, 577,373.75 and 185,002.17 is: 277,385.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,079.86 : 577,373.75 = 185,002.17 : x
  2. Step 2: Convert to fraction form
    385,079.86/577,373.75 = 185,002.17/x
  3. Step 3: Cross multiply
    385,079.86x = 577,373.75 × 185,002.17
  4. Step 4: Simplify right side
    385,079.86x = 106,815,396,651.04
  5. Step 5: Solve for x
    x = 106,815,396,651.04/385,079.86
  6. Step 6: Final answer
    x = 277,385.05

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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.