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Finding the Fourth Proportional to 317,952.54, 438,784.29 and 174,717

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Solution

The fourth proportional to 317,952.54, 438,784.29 and 174,717 is: 241,114.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,952.54 : 438,784.29 = 174,717 : x
  2. Step 2: Convert to fraction form
    317,952.54/438,784.29 = 174,717/x
  3. Step 3: Cross multiply
    317,952.54x = 438,784.29 × 174,717
  4. Step 4: Simplify right side
    317,952.54x = 76,663,074,795.93
  5. Step 5: Solve for x
    x = 76,663,074,795.93/317,952.54
  6. Step 6: Final answer
    x = 241,114.84

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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.