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Finding the Fourth Proportional to 564,352.94, 846,608.84 and 165,023.76

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Solution

The fourth proportional to 564,352.94, 846,608.84 and 165,023.76 is: 247,558.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,352.94 : 846,608.84 = 165,023.76 : x
  2. Step 2: Convert to fraction form
    564,352.94/846,608.84 = 165,023.76/x
  3. Step 3: Cross multiply
    564,352.94x = 846,608.84 × 165,023.76
  4. Step 4: Simplify right side
    564,352.94x = 139,710,574,026.04
  5. Step 5: Solve for x
    x = 139,710,574,026.04/564,352.94
  6. Step 6: Final answer
    x = 247,558.87

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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.