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Finding the Fourth Proportional to 299,428.16, 413,359.04 and 184,769.96

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Solution

The fourth proportional to 299,428.16, 413,359.04 and 184,769.96 is: 255,073.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,428.16 : 413,359.04 = 184,769.96 : x
  2. Step 2: Convert to fraction form
    299,428.16/413,359.04 = 184,769.96/x
  3. Step 3: Cross multiply
    299,428.16x = 413,359.04 × 184,769.96
  4. Step 4: Simplify right side
    299,428.16x = 76,376,331,681.57
  5. Step 5: Solve for x
    x = 76,376,331,681.57/299,428.16
  6. Step 6: Final answer
    x = 255,073.98

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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.