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Finding the Fourth Proportional to 405,763.65, 559,853.24 and 262,351.13

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Solution

The fourth proportional to 405,763.65, 559,853.24 and 262,351.13 is: 361,979.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,763.65 : 559,853.24 = 262,351.13 : x
  2. Step 2: Convert to fraction form
    405,763.65/559,853.24 = 262,351.13/x
  3. Step 3: Cross multiply
    405,763.65x = 559,853.24 × 262,351.13
  4. Step 4: Simplify right side
    405,763.65x = 146,878,126,037.14
  5. Step 5: Solve for x
    x = 146,878,126,037.14/405,763.65
  6. Step 6: Final answer
    x = 361,979.51

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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.