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Finding the Fourth Proportional to 413,335.88, 570,364.12 and 232,006.28

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Solution

The fourth proportional to 413,335.88, 570,364.12 and 232,006.28 is: 320,146.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,335.88 : 570,364.12 = 232,006.28 : x
  2. Step 2: Convert to fraction form
    413,335.88/570,364.12 = 232,006.28/x
  3. Step 3: Cross multiply
    413,335.88x = 570,364.12 × 232,006.28
  4. Step 4: Simplify right side
    413,335.88x = 132,328,057,726.67
  5. Step 5: Solve for x
    x = 132,328,057,726.67/413,335.88
  6. Step 6: Final answer
    x = 320,146.55

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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.