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Finding the Fourth Proportional to 458,643.20, 688,029.60 and 143,067.20

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Solution

The fourth proportional to 458,643.20, 688,029.60 and 143,067.20 is: 214,621.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,643.20 : 688,029.60 = 143,067.20 : x
  2. Step 2: Convert to fraction form
    458,643.20/688,029.60 = 143,067.20/x
  3. Step 3: Cross multiply
    458,643.20x = 688,029.60 × 143,067.20
  4. Step 4: Simplify right side
    458,643.20x = 98,434,468,389.12
  5. Step 5: Solve for x
    x = 98,434,468,389.12/458,643.20
  6. Step 6: Final answer
    x = 214,621.01

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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.