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Finding the Fourth Proportional to 367,664.32, 507,363.36 and 224,663.68

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Solution

The fourth proportional to 367,664.32, 507,363.36 and 224,663.68 is: 310,027.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,664.32 : 507,363.36 = 224,663.68 : x
  2. Step 2: Convert to fraction form
    367,664.32/507,363.36 = 224,663.68/x
  3. Step 3: Cross multiply
    367,664.32x = 507,363.36 × 224,663.68
  4. Step 4: Simplify right side
    367,664.32x = 113,986,119,554.77
  5. Step 5: Solve for x
    x = 113,986,119,554.77/367,664.32
  6. Step 6: Final answer
    x = 310,027.69

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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.