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Finding the Fourth Proportional to 367,538.48, 507,258 and 224,381.64

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Solution

The fourth proportional to 367,538.48, 507,258 and 224,381.64 is: 309,680.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,538.48 : 507,258 = 224,381.64 : x
  2. Step 2: Convert to fraction form
    367,538.48/507,258 = 224,381.64/x
  3. Step 3: Cross multiply
    367,538.48x = 507,258 × 224,381.64
  4. Step 4: Simplify right side
    367,538.48x = 113,819,381,943.12
  5. Step 5: Solve for x
    x = 113,819,381,943.12/367,538.48
  6. Step 6: Final answer
    x = 309,680.18

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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.