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Finding the Fourth Proportional to 299,068.71, 412,698.36 and 169,989.24

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Solution

The fourth proportional to 299,068.71, 412,698.36 and 169,989.24 is: 234,575.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,068.71 : 412,698.36 = 169,989.24 : x
  2. Step 2: Convert to fraction form
    299,068.71/412,698.36 = 169,989.24/x
  3. Step 3: Cross multiply
    299,068.71x = 412,698.36 × 169,989.24
  4. Step 4: Simplify right side
    299,068.71x = 70,154,280,565.65
  5. Step 5: Solve for x
    x = 70,154,280,565.65/299,068.71
  6. Step 6: Final answer
    x = 234,575.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.