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Finding the Fourth Proportional to 376,731.60, 565,534.80 and 216,934.80

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Solution

The fourth proportional to 376,731.60, 565,534.80 and 216,934.80 is: 325,654.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,731.60 : 565,534.80 = 216,934.80 : x
  2. Step 2: Convert to fraction form
    376,731.60/565,534.80 = 216,934.80/x
  3. Step 3: Cross multiply
    376,731.60x = 565,534.80 × 216,934.80
  4. Step 4: Simplify right side
    376,731.60x = 122,684,178,731.04
  5. Step 5: Solve for x
    x = 122,684,178,731.04/376,731.60
  6. Step 6: Final answer
    x = 325,654.07

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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.