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Finding the Fourth Proportional to 317,882.57, 438,684.14 and 174,648.02

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Solution

The fourth proportional to 317,882.57, 438,684.14 and 174,648.02 is: 241,017.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,882.57 : 438,684.14 = 174,648.02 : x
  2. Step 2: Convert to fraction form
    317,882.57/438,684.14 = 174,648.02/x
  3. Step 3: Cross multiply
    317,882.57x = 438,684.14 × 174,648.02
  4. Step 4: Simplify right side
    317,882.57x = 76,615,314,699.60
  5. Step 5: Solve for x
    x = 76,615,314,699.60/317,882.57
  6. Step 6: Final answer
    x = 241,017.67

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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.