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Finding the Fourth Proportional to 425,296.88, 586,936.14 and 234,310.22

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Solution

The fourth proportional to 425,296.88, 586,936.14 and 234,310.22 is: 323,362.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,296.88 : 586,936.14 = 234,310.22 : x
  2. Step 2: Convert to fraction form
    425,296.88/586,936.14 = 234,310.22/x
  3. Step 3: Cross multiply
    425,296.88x = 586,936.14 × 234,310.22
  4. Step 4: Simplify right side
    425,296.88x = 137,525,136,089.35
  5. Step 5: Solve for x
    x = 137,525,136,089.35/425,296.88
  6. Step 6: Final answer
    x = 323,362.67

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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.