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Finding the Fourth Proportional to 532,372, 798,164.34 and 321,963.16

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Solution

The fourth proportional to 532,372, 798,164.34 and 321,963.16 is: 482,706.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,372 : 798,164.34 = 321,963.16 : x
  2. Step 2: Convert to fraction form
    532,372/798,164.34 = 321,963.16/x
  3. Step 3: Cross multiply
    532,372x = 798,164.34 × 321,963.16
  4. Step 4: Simplify right side
    532,372x = 256,979,513,105.71
  5. Step 5: Solve for x
    x = 256,979,513,105.71/532,372
  6. Step 6: Final answer
    x = 482,706.67

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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.