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Finding the Fourth Proportional to 353,400.75, 487,693.05 and 194,424.75

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Solution

The fourth proportional to 353,400.75, 487,693.05 and 194,424.75 is: 268,306.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,400.75 : 487,693.05 = 194,424.75 : x
  2. Step 2: Convert to fraction form
    353,400.75/487,693.05 = 194,424.75/x
  3. Step 3: Cross multiply
    353,400.75x = 487,693.05 × 194,424.75
  4. Step 4: Simplify right side
    353,400.75x = 94,819,599,322.99
  5. Step 5: Solve for x
    x = 94,819,599,322.99/353,400.75
  6. Step 6: Final answer
    x = 268,306.16

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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.