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Finding the Fourth Proportional to 384,714.60, 577,017.96 and 131,990.95

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Solution

The fourth proportional to 384,714.60, 577,017.96 and 131,990.95 is: 197,967.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,714.60 : 577,017.96 = 131,990.95 : x
  2. Step 2: Convert to fraction form
    384,714.60/577,017.96 = 131,990.95/x
  3. Step 3: Cross multiply
    384,714.60x = 577,017.96 × 131,990.95
  4. Step 4: Simplify right side
    384,714.60x = 76,161,148,707.46
  5. Step 5: Solve for x
    x = 76,161,148,707.46/384,714.60
  6. Step 6: Final answer
    x = 197,967.92

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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.