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Finding the Fourth Proportional to 564,572.40, 846,772.74 and 165,106.32

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Solution

The fourth proportional to 564,572.40, 846,772.74 and 165,106.32 is: 247,634.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,572.40 : 846,772.74 = 165,106.32 : x
  2. Step 2: Convert to fraction form
    564,572.40/846,772.74 = 165,106.32/x
  3. Step 3: Cross multiply
    564,572.40x = 846,772.74 × 165,106.32
  4. Step 4: Simplify right side
    564,572.40x = 139,807,530,977.72
  5. Step 5: Solve for x
    x = 139,807,530,977.72/564,572.40
  6. Step 6: Final answer
    x = 247,634.37

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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.