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Finding the Fourth Proportional to 554,768.64, 831,653.58 and 199,533

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Solution

The fourth proportional to 554,768.64, 831,653.58 and 199,533 is: 299,119.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    554,768.64 : 831,653.58 = 199,533 : x
  2. Step 2: Convert to fraction form
    554,768.64/831,653.58 = 199,533/x
  3. Step 3: Cross multiply
    554,768.64x = 831,653.58 × 199,533
  4. Step 4: Simplify right side
    554,768.64x = 165,942,333,778.14
  5. Step 5: Solve for x
    x = 165,942,333,778.14/554,768.64
  6. Step 6: Final answer
    x = 299,119.89

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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.