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Finding the Fourth Proportional to 327,646.76, 452,167.08 and 184,416.08

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Solution

The fourth proportional to 327,646.76, 452,167.08 and 184,416.08 is: 254,502.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,646.76 : 452,167.08 = 184,416.08 : x
  2. Step 2: Convert to fraction form
    327,646.76/452,167.08 = 184,416.08/x
  3. Step 3: Cross multiply
    327,646.76x = 452,167.08 × 184,416.08
  4. Step 4: Simplify right side
    327,646.76x = 83,386,880,398.65
  5. Step 5: Solve for x
    x = 83,386,880,398.65/327,646.76
  6. Step 6: Final answer
    x = 254,502.38

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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.