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Finding the Fourth Proportional to 354,074.78, 531,164.55 and 117,365.24

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Solution

The fourth proportional to 354,074.78, 531,164.55 and 117,365.24 is: 176,065.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,074.78 : 531,164.55 = 117,365.24 : x
  2. Step 2: Convert to fraction form
    354,074.78/531,164.55 = 117,365.24/x
  3. Step 3: Cross multiply
    354,074.78x = 531,164.55 × 117,365.24
  4. Step 4: Simplify right side
    354,074.78x = 62,340,254,890.24
  5. Step 5: Solve for x
    x = 62,340,254,890.24/354,074.78
  6. Step 6: Final answer
    x = 176,065.22

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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.