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Finding the Fourth Proportional to 499,593.84, 689,422.42 and 284,803.14

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Solution

The fourth proportional to 499,593.84, 689,422.42 and 284,803.14 is: 393,018.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,593.84 : 689,422.42 = 284,803.14 : x
  2. Step 2: Convert to fraction form
    499,593.84/689,422.42 = 284,803.14/x
  3. Step 3: Cross multiply
    499,593.84x = 689,422.42 × 284,803.14
  4. Step 4: Simplify right side
    499,593.84x = 196,349,670,002.40
  5. Step 5: Solve for x
    x = 196,349,670,002.40/499,593.84
  6. Step 6: Final answer
    x = 393,018.60

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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.