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Finding the Fourth Proportional to 564,109.77, 845,369.06 and 311,503.98

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Solution

The fourth proportional to 564,109.77, 845,369.06 and 311,503.98 is: 466,816.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,109.77 : 845,369.06 = 311,503.98 : x
  2. Step 2: Convert to fraction form
    564,109.77/845,369.06 = 311,503.98/x
  3. Step 3: Cross multiply
    564,109.77x = 845,369.06 × 311,503.98
  4. Step 4: Simplify right side
    564,109.77x = 263,335,823,616.27
  5. Step 5: Solve for x
    x = 263,335,823,616.27/564,109.77
  6. Step 6: Final answer
    x = 466,816.63

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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.