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Finding the Fourth Proportional to 405,435.91, 559,590.38 and 235,767.91

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Solution

The fourth proportional to 405,435.91, 559,590.38 and 235,767.91 is: 325,411.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,435.91 : 559,590.38 = 235,767.91 : x
  2. Step 2: Convert to fraction form
    405,435.91/559,590.38 = 235,767.91/x
  3. Step 3: Cross multiply
    405,435.91x = 559,590.38 × 235,767.91
  4. Step 4: Simplify right side
    405,435.91x = 131,933,454,348.71
  5. Step 5: Solve for x
    x = 131,933,454,348.71/405,435.91
  6. Step 6: Final answer
    x = 325,411.37

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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.