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Finding the Fourth Proportional to 296,642.96, 444,666.92 and 146,992.02

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Solution

The fourth proportional to 296,642.96, 444,666.92 and 146,992.02 is: 220,340.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,642.96 : 444,666.92 = 146,992.02 : x
  2. Step 2: Convert to fraction form
    296,642.96/444,666.92 = 146,992.02/x
  3. Step 3: Cross multiply
    296,642.96x = 444,666.92 × 146,992.02
  4. Step 4: Simplify right side
    296,642.96x = 65,362,486,395.52
  5. Step 5: Solve for x
    x = 65,362,486,395.52/296,642.96
  6. Step 6: Final answer
    x = 220,340.60

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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.