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Finding the Fourth Proportional to 564,688.74, 846,908.55 and 165,360.65

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Solution

The fourth proportional to 564,688.74, 846,908.55 and 165,360.65 is: 248,004.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,688.74 : 846,908.55 = 165,360.65 : x
  2. Step 2: Convert to fraction form
    564,688.74/846,908.55 = 165,360.65/x
  3. Step 3: Cross multiply
    564,688.74x = 846,908.55 × 165,360.65
  4. Step 4: Simplify right side
    564,688.74x = 140,045,344,084.02
  5. Step 5: Solve for x
    x = 140,045,344,084.02/564,688.74
  6. Step 6: Final answer
    x = 248,004.49

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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.