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Finding the Fourth Proportional to 498,728.32, 688,245.87 and 283,868.40

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Solution

The fourth proportional to 498,728.32, 688,245.87 and 283,868.40 is: 391,738.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,728.32 : 688,245.87 = 283,868.40 : x
  2. Step 2: Convert to fraction form
    498,728.32/688,245.87 = 283,868.40/x
  3. Step 3: Cross multiply
    498,728.32x = 688,245.87 × 283,868.40
  4. Step 4: Simplify right side
    498,728.32x = 195,371,253,923.51
  5. Step 5: Solve for x
    x = 195,371,253,923.51/498,728.32
  6. Step 6: Final answer
    x = 391,738.84

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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.