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Finding the Fourth Proportional to 469,306.44, 647,655.64 and 265,387.86

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Solution

The fourth proportional to 469,306.44, 647,655.64 and 265,387.86 is: 366,242.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,306.44 : 647,655.64 = 265,387.86 : x
  2. Step 2: Convert to fraction form
    469,306.44/647,655.64 = 265,387.86/x
  3. Step 3: Cross multiply
    469,306.44x = 647,655.64 × 265,387.86
  4. Step 4: Simplify right side
    469,306.44x = 171,879,944,316.53
  5. Step 5: Solve for x
    x = 171,879,944,316.53/469,306.44
  6. Step 6: Final answer
    x = 366,242.46

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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.