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Finding the Fourth Proportional to 469,296.30, 647,589.02 and 265,318.93

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Solution

The fourth proportional to 469,296.30, 647,589.02 and 265,318.93 is: 366,117.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,296.30 : 647,589.02 = 265,318.93 : x
  2. Step 2: Convert to fraction form
    469,296.30/647,589.02 = 265,318.93/x
  3. Step 3: Cross multiply
    469,296.30x = 647,589.02 × 265,318.93
  4. Step 4: Simplify right side
    469,296.30x = 171,817,625,866.15
  5. Step 5: Solve for x
    x = 171,817,625,866.15/469,296.30
  6. Step 6: Final answer
    x = 366,117.58

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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.