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Finding the Fourth Proportional to 297,323.16, 410,169.72 and 176,395.73

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Solution

The fourth proportional to 297,323.16, 410,169.72 and 176,395.73 is: 243,345.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,323.16 : 410,169.72 = 176,395.73 : x
  2. Step 2: Convert to fraction form
    297,323.16/410,169.72 = 176,395.73/x
  3. Step 3: Cross multiply
    297,323.16x = 410,169.72 × 176,395.73
  4. Step 4: Simplify right side
    297,323.16x = 72,352,185,793.93
  5. Step 5: Solve for x
    x = 72,352,185,793.93/297,323.16
  6. Step 6: Final answer
    x = 243,345.28

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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.