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Finding the Fourth Proportional to 307,593.23, 462,045.59 and 289,615.91

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Solution

The fourth proportional to 307,593.23, 462,045.59 and 289,615.91 is: 435,041.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,593.23 : 462,045.59 = 289,615.91 : x
  2. Step 2: Convert to fraction form
    307,593.23/462,045.59 = 289,615.91/x
  3. Step 3: Cross multiply
    307,593.23x = 462,045.59 × 289,615.91
  4. Step 4: Simplify right side
    307,593.23x = 133,815,755,888.49
  5. Step 5: Solve for x
    x = 133,815,755,888.49/307,593.23
  6. Step 6: Final answer
    x = 435,041.29

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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.