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Finding the Fourth Proportional to 553,213.80, 828,654.30 and 459,901.80

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Solution

The fourth proportional to 553,213.80, 828,654.30 and 459,901.80 is: 688,883.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,213.80 : 828,654.30 = 459,901.80 : x
  2. Step 2: Convert to fraction form
    553,213.80/828,654.30 = 459,901.80/x
  3. Step 3: Cross multiply
    553,213.80x = 828,654.30 × 459,901.80
  4. Step 4: Simplify right side
    553,213.80x = 381,099,604,147.74
  5. Step 5: Solve for x
    x = 381,099,604,147.74/553,213.80
  6. Step 6: Final answer
    x = 688,883.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.