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Finding the Fourth Proportional to 405,709.64, 559,743.33 and 233,623.90

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Solution

The fourth proportional to 405,709.64, 559,743.33 and 233,623.90 is: 322,322.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,709.64 : 559,743.33 = 233,623.90 : x
  2. Step 2: Convert to fraction form
    405,709.64/559,743.33 = 233,623.90/x
  3. Step 3: Cross multiply
    405,709.64x = 559,743.33 × 233,623.90
  4. Step 4: Simplify right side
    405,709.64x = 130,769,421,329.36
  5. Step 5: Solve for x
    x = 130,769,421,329.36/405,709.64
  6. Step 6: Final answer
    x = 322,322.68

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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.