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Finding the Fourth Proportional to 367,838.84, 507,664.50 and 224,568.20

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Solution

The fourth proportional to 367,838.84, 507,664.50 and 224,568.20 is: 309,932.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,838.84 : 507,664.50 = 224,568.20 : x
  2. Step 2: Convert to fraction form
    367,838.84/507,664.50 = 224,568.20/x
  3. Step 3: Cross multiply
    367,838.84x = 507,664.50 × 224,568.20
  4. Step 4: Simplify right side
    367,838.84x = 114,005,302,968.90
  5. Step 5: Solve for x
    x = 114,005,302,968.90/367,838.84
  6. Step 6: Final answer
    x = 309,932.75

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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.