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Finding the Fourth Proportional to 832,603.71, 1,149,020.99 and 510,251.56

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Solution

The fourth proportional to 832,603.71, 1,149,020.99 and 510,251.56 is: 704,164.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,603.71 : 1,149,020.99 = 510,251.56 : x
  2. Step 2: Convert to fraction form
    832,603.71/1,149,020.99 = 510,251.56/x
  3. Step 3: Cross multiply
    832,603.71x = 1,149,020.99 × 510,251.56
  4. Step 4: Simplify right side
    832,603.71x = 586,289,749,109.88
  5. Step 5: Solve for x
    x = 586,289,749,109.88/832,603.71
  6. Step 6: Final answer
    x = 704,164.23

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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.