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Finding the Fourth Proportional to 497,695.91, 746,101.79 and 194,020.07

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Solution

The fourth proportional to 497,695.91, 746,101.79 and 194,020.07 is: 290,857.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,695.91 : 746,101.79 = 194,020.07 : x
  2. Step 2: Convert to fraction form
    497,695.91/746,101.79 = 194,020.07/x
  3. Step 3: Cross multiply
    497,695.91x = 746,101.79 × 194,020.07
  4. Step 4: Simplify right side
    497,695.91x = 144,758,720,552.83
  5. Step 5: Solve for x
    x = 144,758,720,552.83/497,695.91
  6. Step 6: Final answer
    x = 290,857.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.