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Finding the Fourth Proportional to 432,814.52, 597,314.94 and 239,218.08

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Solution

The fourth proportional to 432,814.52, 597,314.94 and 239,218.08 is: 330,138.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,814.52 : 597,314.94 = 239,218.08 : x
  2. Step 2: Convert to fraction form
    432,814.52/597,314.94 = 239,218.08/x
  3. Step 3: Cross multiply
    432,814.52x = 597,314.94 × 239,218.08
  4. Step 4: Simplify right side
    432,814.52x = 142,888,533,102.12
  5. Step 5: Solve for x
    x = 142,888,533,102.12/432,814.52
  6. Step 6: Final answer
    x = 330,138.03

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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.