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Finding the Fourth Proportional to 393,970.68, 591,140.61 and 194,182.11

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Solution

The fourth proportional to 393,970.68, 591,140.61 and 194,182.11 is: 291,364.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,970.68 : 591,140.61 = 194,182.11 : x
  2. Step 2: Convert to fraction form
    393,970.68/591,140.61 = 194,182.11/x
  3. Step 3: Cross multiply
    393,970.68x = 591,140.61 × 194,182.11
  4. Step 4: Simplify right side
    393,970.68x = 114,788,930,956.49
  5. Step 5: Solve for x
    x = 114,788,930,956.49/393,970.68
  6. Step 6: Final answer
    x = 291,364.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.