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Finding the Fourth Proportional to 364,555.20, 546,176.70 and 312,067.20

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Solution

The fourth proportional to 364,555.20, 546,176.70 and 312,067.20 is: 467,539.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,555.20 : 546,176.70 = 312,067.20 : x
  2. Step 2: Convert to fraction form
    364,555.20/546,176.70 = 312,067.20/x
  3. Step 3: Cross multiply
    364,555.20x = 546,176.70 × 312,067.20
  4. Step 4: Simplify right side
    364,555.20x = 170,443,833,474.24
  5. Step 5: Solve for x
    x = 170,443,833,474.24/364,555.20
  6. Step 6: Final answer
    x = 467,539.16

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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.