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Finding the Fourth Proportional to 298,194.66, 447,389.16 and 140,439.06

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Solution

The fourth proportional to 298,194.66, 447,389.16 and 140,439.06 is: 210,704.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,194.66 : 447,389.16 = 140,439.06 : x
  2. Step 2: Convert to fraction form
    298,194.66/447,389.16 = 140,439.06/x
  3. Step 3: Cross multiply
    298,194.66x = 447,389.16 × 140,439.06
  4. Step 4: Simplify right side
    298,194.66x = 62,830,913,084.59
  5. Step 5: Solve for x
    x = 62,830,913,084.59/298,194.66
  6. Step 6: Final answer
    x = 210,704.35

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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.