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Finding the Fourth Proportional to 417,009.80, 625,821.90 and 167,870.60

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Solution

The fourth proportional to 417,009.80, 625,821.90 and 167,870.60 is: 251,929.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,009.80 : 625,821.90 = 167,870.60 : x
  2. Step 2: Convert to fraction form
    417,009.80/625,821.90 = 167,870.60/x
  3. Step 3: Cross multiply
    417,009.80x = 625,821.90 × 167,870.60
  4. Step 4: Simplify right side
    417,009.80x = 105,057,097,846.14
  5. Step 5: Solve for x
    x = 105,057,097,846.14/417,009.80
  6. Step 6: Final answer
    x = 251,929.57

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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.