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Finding the Fourth Proportional to 364,562.30, 546,843.45 and 342,400.70

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Solution

The fourth proportional to 364,562.30, 546,843.45 and 342,400.70 is: 513,601.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,562.30 : 546,843.45 = 342,400.70 : x
  2. Step 2: Convert to fraction form
    364,562.30/546,843.45 = 342,400.70/x
  3. Step 3: Cross multiply
    364,562.30x = 546,843.45 × 342,400.70
  4. Step 4: Simplify right side
    364,562.30x = 187,239,580,070.42
  5. Step 5: Solve for x
    x = 187,239,580,070.42/364,562.30
  6. Step 6: Final answer
    x = 513,601.05

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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.