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Finding the Fourth Proportional to 432,394.02, 648,605.61 and 116,853.66

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Solution

The fourth proportional to 432,394.02, 648,605.61 and 116,853.66 is: 175,284.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,394.02 : 648,605.61 = 116,853.66 : x
  2. Step 2: Convert to fraction form
    432,394.02/648,605.61 = 116,853.66/x
  3. Step 3: Cross multiply
    432,394.02x = 648,605.61 × 116,853.66
  4. Step 4: Simplify right side
    432,394.02x = 75,791,939,425.03
  5. Step 5: Solve for x
    x = 75,791,939,425.03/432,394.02
  6. Step 6: Final answer
    x = 175,284.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.