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Finding the Fourth Proportional to 364,204.32, 545,970 and 230,680.80

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Solution

The fourth proportional to 364,204.32, 545,970 and 230,680.80 is: 345,808.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,204.32 : 545,970 = 230,680.80 : x
  2. Step 2: Convert to fraction form
    364,204.32/545,970 = 230,680.80/x
  3. Step 3: Cross multiply
    364,204.32x = 545,970 × 230,680.80
  4. Step 4: Simplify right side
    364,204.32x = 125,944,796,376
  5. Step 5: Solve for x
    x = 125,944,796,376/364,204.32
  6. Step 6: Final answer
    x = 345,808.08

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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.