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Finding the Fourth Proportional to 317,404.14, 438,016.50 and 174,166.58

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Solution

The fourth proportional to 317,404.14, 438,016.50 and 174,166.58 is: 240,349.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,404.14 : 438,016.50 = 174,166.58 : x
  2. Step 2: Convert to fraction form
    317,404.14/438,016.50 = 174,166.58/x
  3. Step 3: Cross multiply
    317,404.14x = 438,016.50 × 174,166.58
  4. Step 4: Simplify right side
    317,404.14x = 76,287,835,788.57
  5. Step 5: Solve for x
    x = 76,287,835,788.57/317,404.14
  6. Step 6: Final answer
    x = 240,349.21

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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.