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Finding the Fourth Proportional to 468,211.79, 646,134.47 and 264,271.31

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Solution

The fourth proportional to 468,211.79, 646,134.47 and 264,271.31 is: 364,695.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,211.79 : 646,134.47 = 264,271.31 : x
  2. Step 2: Convert to fraction form
    468,211.79/646,134.47 = 264,271.31/x
  3. Step 3: Cross multiply
    468,211.79x = 646,134.47 × 264,271.31
  4. Step 4: Simplify right side
    468,211.79x = 170,754,801,685.05
  5. Step 5: Solve for x
    x = 170,754,801,685.05/468,211.79
  6. Step 6: Final answer
    x = 364,695.65

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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.