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Finding the Fourth Proportional to 322,214.82, 483,458.91 and 172,416.25

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Solution

The fourth proportional to 322,214.82, 483,458.91 and 172,416.25 is: 258,697.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,214.82 : 483,458.91 = 172,416.25 : x
  2. Step 2: Convert to fraction form
    322,214.82/483,458.91 = 172,416.25/x
  3. Step 3: Cross multiply
    322,214.82x = 483,458.91 × 172,416.25
  4. Step 4: Simplify right side
    322,214.82x = 83,356,172,291.29
  5. Step 5: Solve for x
    x = 83,356,172,291.29/322,214.82
  6. Step 6: Final answer
    x = 258,697.51

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1.5x scale

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.