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Finding the Fourth Proportional to 564,017.84, 844,364.64 and 494,033.84

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Solution

The fourth proportional to 564,017.84, 844,364.64 and 494,033.84 is: 739,594.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,017.84 : 844,364.64 = 494,033.84 : x
  2. Step 2: Convert to fraction form
    564,017.84/844,364.64 = 494,033.84/x
  3. Step 3: Cross multiply
    564,017.84x = 844,364.64 × 494,033.84
  4. Step 4: Simplify right side
    564,017.84x = 417,144,705,459.42
  5. Step 5: Solve for x
    x = 417,144,705,459.42/564,017.84
  6. Step 6: Final answer
    x = 739,594.88

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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.