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Finding the Fourth Proportional to 317,535.58, 438,214.62 and 174,294.10

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Solution

The fourth proportional to 317,535.58, 438,214.62 and 174,294.10 is: 240,534.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,535.58 : 438,214.62 = 174,294.10 : x
  2. Step 2: Convert to fraction form
    317,535.58/438,214.62 = 174,294.10/x
  3. Step 3: Cross multiply
    317,535.58x = 438,214.62 × 174,294.10
  4. Step 4: Simplify right side
    317,535.58x = 76,378,222,799.74
  5. Step 5: Solve for x
    x = 76,378,222,799.74/317,535.58
  6. Step 6: Final answer
    x = 240,534.38

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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.