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Finding the Fourth Proportional to 432,830.68, 597,303.08 and 239,251.11

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Solution

The fourth proportional to 432,830.68, 597,303.08 and 239,251.11 is: 330,164.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,830.68 : 597,303.08 = 239,251.11 : x
  2. Step 2: Convert to fraction form
    432,830.68/597,303.08 = 239,251.11/x
  3. Step 3: Cross multiply
    432,830.68x = 597,303.08 × 239,251.11
  4. Step 4: Simplify right side
    432,830.68x = 142,905,425,494.55
  5. Step 5: Solve for x
    x = 142,905,425,494.55/432,830.68
  6. Step 6: Final answer
    x = 330,164.73

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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.