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Finding the Fourth Proportional to 458,983.69, 688,500.14 and 143,465.20

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Solution

The fourth proportional to 458,983.69, 688,500.14 and 143,465.20 is: 215,205.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,983.69 : 688,500.14 = 143,465.20 : x
  2. Step 2: Convert to fraction form
    458,983.69/688,500.14 = 143,465.20/x
  3. Step 3: Cross multiply
    458,983.69x = 688,500.14 × 143,465.20
  4. Step 4: Simplify right side
    458,983.69x = 98,775,807,846.55
  5. Step 5: Solve for x
    x = 98,775,807,846.55/458,983.69
  6. Step 6: Final answer
    x = 215,205.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.