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Finding the Fourth Proportional to 300,572.52, 413,953.74 and 232,338.12

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Solution

The fourth proportional to 300,572.52, 413,953.74 and 232,338.12 is: 319,980.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,572.52 : 413,953.74 = 232,338.12 : x
  2. Step 2: Convert to fraction form
    300,572.52/413,953.74 = 232,338.12/x
  3. Step 3: Cross multiply
    300,572.52x = 413,953.74 × 232,338.12
  4. Step 4: Simplify right side
    300,572.52x = 96,177,233,718.57
  5. Step 5: Solve for x
    x = 96,177,233,718.57/300,572.52
  6. Step 6: Final answer
    x = 319,980.13

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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.