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Finding the Fourth Proportional to 564,204.63, 846,307.83 and 199,737.42

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Solution

The fourth proportional to 564,204.63, 846,307.83 and 199,737.42 is: 299,606.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,204.63 : 846,307.83 = 199,737.42 : x
  2. Step 2: Convert to fraction form
    564,204.63/846,307.83 = 199,737.42/x
  3. Step 3: Cross multiply
    564,204.63x = 846,307.83 × 199,737.42
  4. Step 4: Simplify right side
    564,204.63x = 169,039,342,490.00
  5. Step 5: Solve for x
    x = 169,039,342,490.00/564,204.63
  6. Step 6: Final answer
    x = 299,606.44

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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.