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Finding the Fourth Proportional to 468,226.64, 646,152 and 264,320.48

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Solution

The fourth proportional to 468,226.64, 646,152 and 264,320.48 is: 364,761.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,226.64 : 646,152 = 264,320.48 : x
  2. Step 2: Convert to fraction form
    468,226.64/646,152 = 264,320.48/x
  3. Step 3: Cross multiply
    468,226.64x = 646,152 × 264,320.48
  4. Step 4: Simplify right side
    468,226.64x = 170,791,206,792.96
  5. Step 5: Solve for x
    x = 170,791,206,792.96/468,226.64
  6. Step 6: Final answer
    x = 364,761.83

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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.