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Finding the Fourth Proportional to 475,164.98, 655,727.68 and 284,178.38

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Solution

The fourth proportional to 475,164.98, 655,727.68 and 284,178.38 is: 392,166.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,164.98 : 655,727.68 = 284,178.38 : x
  2. Step 2: Convert to fraction form
    475,164.98/655,727.68 = 284,178.38/x
  3. Step 3: Cross multiply
    475,164.98x = 655,727.68 × 284,178.38
  4. Step 4: Simplify right side
    475,164.98x = 186,343,626,100.89
  5. Step 5: Solve for x
    x = 186,343,626,100.89/475,164.98
  6. Step 6: Final answer
    x = 392,166.16

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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.