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Finding the Fourth Proportional to 492,223.68, 679,269.12 and 265,869.18

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Solution

The fourth proportional to 492,223.68, 679,269.12 and 265,869.18 is: 366,899.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,223.68 : 679,269.12 = 265,869.18 : x
  2. Step 2: Convert to fraction form
    492,223.68/679,269.12 = 265,869.18/x
  3. Step 3: Cross multiply
    492,223.68x = 679,269.12 × 265,869.18
  4. Step 4: Simplify right side
    492,223.68x = 180,596,723,933.72
  5. Step 5: Solve for x
    x = 180,596,723,933.72/492,223.68
  6. Step 6: Final answer
    x = 366,899.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.