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Finding the Fourth Proportional to 317,448.96, 438,092.22 and 174,214.14

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Solution

The fourth proportional to 317,448.96, 438,092.22 and 174,214.14 is: 240,422.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,448.96 : 438,092.22 = 174,214.14 : x
  2. Step 2: Convert to fraction form
    317,448.96/438,092.22 = 174,214.14/x
  3. Step 3: Cross multiply
    317,448.96x = 438,092.22 × 174,214.14
  4. Step 4: Simplify right side
    317,448.96x = 76,321,859,347.99
  5. Step 5: Solve for x
    x = 76,321,859,347.99/317,448.96
  6. Step 6: Final answer
    x = 240,422.46

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1.5x scale

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.