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Finding the Fourth Proportional to 317,441.29, 438,047.41 and 174,210.56

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Solution

The fourth proportional to 317,441.29, 438,047.41 and 174,210.56 is: 240,398.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,441.29 : 438,047.41 = 174,210.56 : x
  2. Step 2: Convert to fraction form
    317,441.29/438,047.41 = 174,210.56/x
  3. Step 3: Cross multiply
    317,441.29x = 438,047.41 × 174,210.56
  4. Step 4: Simplify right side
    317,441.29x = 76,312,481,541.36
  5. Step 5: Solve for x
    x = 76,312,481,541.36/317,441.29
  6. Step 6: Final answer
    x = 240,398.73

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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.