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Finding the Fourth Proportional to 413,348.72, 570,389.67 and 232,025.61

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Solution

The fourth proportional to 413,348.72, 570,389.67 and 232,025.61 is: 320,177.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,348.72 : 570,389.67 = 232,025.61 : x
  2. Step 2: Convert to fraction form
    413,348.72/570,389.67 = 232,025.61/x
  3. Step 3: Cross multiply
    413,348.72x = 570,389.67 × 232,025.61
  4. Step 4: Simplify right side
    413,348.72x = 132,345,011,119.45
  5. Step 5: Solve for x
    x = 132,345,011,119.45/413,348.72
  6. Step 6: Final answer
    x = 320,177.63

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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.