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Finding the Fourth Proportional to 499,206.84, 688,825.80 and 284,351.16

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Solution

The fourth proportional to 499,206.84, 688,825.80 and 284,351.16 is: 392,359.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,206.84 : 688,825.80 = 284,351.16 : x
  2. Step 2: Convert to fraction form
    499,206.84/688,825.80 = 284,351.16/x
  3. Step 3: Cross multiply
    499,206.84x = 688,825.80 × 284,351.16
  4. Step 4: Simplify right side
    499,206.84x = 195,868,415,267.93
  5. Step 5: Solve for x
    x = 195,868,415,267.93/499,206.84
  6. Step 6: Final answer
    x = 392,359.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.