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Finding the Fourth Proportional to 469,504.46, 703,054.64 and 258,908.78

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Solution

The fourth proportional to 469,504.46, 703,054.64 and 258,908.78 is: 387,700.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,504.46 : 703,054.64 = 258,908.78 : x
  2. Step 2: Convert to fraction form
    469,504.46/703,054.64 = 258,908.78/x
  3. Step 3: Cross multiply
    469,504.46x = 703,054.64 × 258,908.78
  4. Step 4: Simplify right side
    469,504.46x = 182,027,019,115.74
  5. Step 5: Solve for x
    x = 182,027,019,115.74/469,504.46
  6. Step 6: Final answer
    x = 387,700.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.