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Finding the Fourth Proportional to 295,494.74, 407,722.29 and 174,575.42

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Solution

The fourth proportional to 295,494.74, 407,722.29 and 174,575.42 is: 240,878.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,494.74 : 407,722.29 = 174,575.42 : x
  2. Step 2: Convert to fraction form
    295,494.74/407,722.29 = 174,575.42/x
  3. Step 3: Cross multiply
    295,494.74x = 407,722.29 × 174,575.42
  4. Step 4: Simplify right side
    295,494.74x = 71,178,290,020.11
  5. Step 5: Solve for x
    x = 71,178,290,020.11/295,494.74
  6. Step 6: Final answer
    x = 240,878.37

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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.