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Finding the Fourth Proportional to 405,528.69, 559,405.13 and 235,744.05

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Solution

The fourth proportional to 405,528.69, 559,405.13 and 235,744.05 is: 325,196.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,528.69 : 559,405.13 = 235,744.05 : x
  2. Step 2: Convert to fraction form
    405,528.69/559,405.13 = 235,744.05/x
  3. Step 3: Cross multiply
    405,528.69x = 559,405.13 × 235,744.05
  4. Step 4: Simplify right side
    405,528.69x = 131,876,429,758.26
  5. Step 5: Solve for x
    x = 131,876,429,758.26/405,528.69
  6. Step 6: Final answer
    x = 325,196.30

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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.