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Finding the Fourth Proportional to 564,465.87, 846,758.93 and 165,108.74

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Solution

The fourth proportional to 564,465.87, 846,758.93 and 165,108.74 is: 247,680.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,465.87 : 846,758.93 = 165,108.74 : x
  2. Step 2: Convert to fraction form
    564,465.87/846,758.93 = 165,108.74/x
  3. Step 3: Cross multiply
    564,465.87x = 846,758.93 × 165,108.74
  4. Step 4: Simplify right side
    564,465.87x = 139,807,294,956.71
  5. Step 5: Solve for x
    x = 139,807,294,956.71/564,465.87
  6. Step 6: Final answer
    x = 247,680.69

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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.