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Finding the Fourth Proportional to 469,009.92, 647,265.44 and 264,990.08

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Solution

The fourth proportional to 469,009.92, 647,265.44 and 264,990.08 is: 365,704.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,009.92 : 647,265.44 = 264,990.08 : x
  2. Step 2: Convert to fraction form
    469,009.92/647,265.44 = 264,990.08/x
  3. Step 3: Cross multiply
    469,009.92x = 647,265.44 × 264,990.08
  4. Step 4: Simplify right side
    469,009.92x = 171,518,920,726.84
  5. Step 5: Solve for x
    x = 171,518,920,726.84/469,009.92
  6. Step 6: Final answer
    x = 365,704.25

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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.