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Finding the Fourth Proportional to 413,348.91, 570,382.10 and 232,019.28

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Solution

The fourth proportional to 413,348.91, 570,382.10 and 232,019.28 is: 320,164.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,348.91 : 570,382.10 = 232,019.28 : x
  2. Step 2: Convert to fraction form
    413,348.91/570,382.10 = 232,019.28/x
  3. Step 3: Cross multiply
    413,348.91x = 570,382.10 × 232,019.28
  4. Step 4: Simplify right side
    413,348.91x = 132,339,643,006.79
  5. Step 5: Solve for x
    x = 132,339,643,006.79/413,348.91
  6. Step 6: Final answer
    x = 320,164.49

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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.