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Finding the Fourth Proportional to 353,412, 487,708.56 and 194,436

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Solution

The fourth proportional to 353,412, 487,708.56 and 194,436 is: 268,321.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,412 : 487,708.56 = 194,436 : x
  2. Step 2: Convert to fraction form
    353,412/487,708.56 = 194,436/x
  3. Step 3: Cross multiply
    353,412x = 487,708.56 × 194,436
  4. Step 4: Simplify right side
    353,412x = 94,828,101,572.16
  5. Step 5: Solve for x
    x = 94,828,101,572.16/353,412
  6. Step 6: Final answer
    x = 268,321.68

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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.