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Finding the Fourth Proportional to 298,337.80, 411,567.78 and 177,411.40

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Solution

The fourth proportional to 298,337.80, 411,567.78 and 177,411.40 is: 244,745.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,337.80 : 411,567.78 = 177,411.40 : x
  2. Step 2: Convert to fraction form
    298,337.80/411,567.78 = 177,411.40/x
  3. Step 3: Cross multiply
    298,337.80x = 411,567.78 × 177,411.40
  4. Step 4: Simplify right side
    298,337.80x = 73,016,816,044.69
  5. Step 5: Solve for x
    x = 73,016,816,044.69/298,337.80
  6. Step 6: Final answer
    x = 244,745.44

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1.5x scale

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.