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Finding the Fourth Proportional to 317,764.56, 438,522.36 and 174,534

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Solution

The fourth proportional to 317,764.56, 438,522.36 and 174,534 is: 240,860.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,764.56 : 438,522.36 = 174,534 : x
  2. Step 2: Convert to fraction form
    317,764.56/438,522.36 = 174,534/x
  3. Step 3: Cross multiply
    317,764.56x = 438,522.36 × 174,534
  4. Step 4: Simplify right side
    317,764.56x = 76,537,061,580.24
  5. Step 5: Solve for x
    x = 76,537,061,580.24/317,764.56
  6. Step 6: Final answer
    x = 240,860.91

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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.