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Finding the Fourth Proportional to 298,870.80, 447,701.40 and 186,205.20

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Solution

The fourth proportional to 298,870.80, 447,701.40 and 186,205.20 is: 278,930.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,870.80 : 447,701.40 = 186,205.20 : x
  2. Step 2: Convert to fraction form
    298,870.80/447,701.40 = 186,205.20/x
  3. Step 3: Cross multiply
    298,870.80x = 447,701.40 × 186,205.20
  4. Step 4: Simplify right side
    298,870.80x = 83,364,328,727.28
  5. Step 5: Solve for x
    x = 83,364,328,727.28/298,870.80
  6. Step 6: Final answer
    x = 278,930.99

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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.