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Finding the Fourth Proportional to 295,502.78, 407,813.68 and 164,700.78

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Solution

The fourth proportional to 295,502.78, 407,813.68 and 164,700.78 is: 227,298.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,502.78 : 407,813.68 = 164,700.78 : x
  2. Step 2: Convert to fraction form
    295,502.78/407,813.68 = 164,700.78/x
  3. Step 3: Cross multiply
    295,502.78x = 407,813.68 × 164,700.78
  4. Step 4: Simplify right side
    295,502.78x = 67,167,231,190.67
  5. Step 5: Solve for x
    x = 67,167,231,190.67/295,502.78
  6. Step 6: Final answer
    x = 227,298.14

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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.