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Finding the Fourth Proportional to 564,313.77, 846,454.25 and 164,963.93

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Solution

The fourth proportional to 564,313.77, 846,454.25 and 164,963.93 is: 247,441.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,313.77 : 846,454.25 = 164,963.93 : x
  2. Step 2: Convert to fraction form
    564,313.77/846,454.25 = 164,963.93/x
  3. Step 3: Cross multiply
    564,313.77x = 846,454.25 × 164,963.93
  4. Step 4: Simplify right side
    564,313.77x = 139,634,414,588.11
  5. Step 5: Solve for x
    x = 139,634,414,588.11/564,313.77
  6. Step 6: Final answer
    x = 247,441.09

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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.