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Finding the Fourth Proportional to 296,565.12, 444,844.24 and 119,069.01

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Solution

The fourth proportional to 296,565.12, 444,844.24 and 119,069.01 is: 178,602.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,565.12 : 444,844.24 = 119,069.01 : x
  2. Step 2: Convert to fraction form
    296,565.12/444,844.24 = 119,069.01/x
  3. Step 3: Cross multiply
    296,565.12x = 444,844.24 × 119,069.01
  4. Step 4: Simplify right side
    296,565.12x = 52,967,162,963.33
  5. Step 5: Solve for x
    x = 52,967,162,963.33/296,565.12
  6. Step 6: Final answer
    x = 178,602.13

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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.