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Finding the Fourth Proportional to 317,462.78, 438,097.26 and 174,225.14

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Solution

The fourth proportional to 317,462.78, 438,097.26 and 174,225.14 is: 240,429.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,462.78 : 438,097.26 = 174,225.14 : x
  2. Step 2: Convert to fraction form
    317,462.78/438,097.26 = 174,225.14/x
  3. Step 3: Cross multiply
    317,462.78x = 438,097.26 × 174,225.14
  4. Step 4: Simplify right side
    317,462.78x = 76,327,556,457.12
  5. Step 5: Solve for x
    x = 76,327,556,457.12/317,462.78
  6. Step 6: Final answer
    x = 240,429.94

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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.