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Finding the Fourth Proportional to 564,313.77, 846,454.26 and 164,963.94

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Solution

The fourth proportional to 564,313.77, 846,454.26 and 164,963.94 is: 247,441.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,313.77 : 846,454.26 = 164,963.94 : x
  2. Step 2: Convert to fraction form
    564,313.77/846,454.26 = 164,963.94/x
  3. Step 3: Cross multiply
    564,313.77x = 846,454.26 × 164,963.94
  4. Step 4: Simplify right side
    564,313.77x = 139,634,429,759.38
  5. Step 5: Solve for x
    x = 139,634,429,759.38/564,313.77
  6. Step 6: Final answer
    x = 247,441.12

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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.