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Finding the Fourth Proportional to 458,882.82, 688,421.43 and 143,363.52

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Solution

The fourth proportional to 458,882.82, 688,421.43 and 143,363.52 is: 215,075.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,882.82 : 688,421.43 = 143,363.52 : x
  2. Step 2: Convert to fraction form
    458,882.82/688,421.43 = 143,363.52/x
  3. Step 3: Cross multiply
    458,882.82x = 688,421.43 × 143,363.52
  4. Step 4: Simplify right side
    458,882.82x = 98,694,519,448.23
  5. Step 5: Solve for x
    x = 98,694,519,448.23/458,882.82
  6. Step 6: Final answer
    x = 215,075.65

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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.