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Finding the Fourth Proportional to 317,403.14, 438,015.12 and 174,165.58

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Solution

The fourth proportional to 317,403.14, 438,015.12 and 174,165.58 is: 240,347.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,403.14 : 438,015.12 = 174,165.58 : x
  2. Step 2: Convert to fraction form
    317,403.14/438,015.12 = 174,165.58/x
  3. Step 3: Cross multiply
    317,403.14x = 438,015.12 × 174,165.58
  4. Step 4: Simplify right side
    317,403.14x = 76,287,155,233.49
  5. Step 5: Solve for x
    x = 76,287,155,233.49/317,403.14
  6. Step 6: Final answer
    x = 240,347.83

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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.