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Finding the Fourth Proportional to 367,508.48, 507,208.66 and 224,238.12

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Solution

The fourth proportional to 367,508.48, 507,208.66 and 224,238.12 is: 309,477.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,508.48 : 507,208.66 = 224,238.12 : x
  2. Step 2: Convert to fraction form
    367,508.48/507,208.66 = 224,238.12/x
  3. Step 3: Cross multiply
    367,508.48x = 507,208.66 × 224,238.12
  4. Step 4: Simplify right side
    367,508.48x = 113,735,516,366.12
  5. Step 5: Solve for x
    x = 113,735,516,366.12/367,508.48
  6. Step 6: Final answer
    x = 309,477.26

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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.