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Finding the Fourth Proportional to 469,102.65, 703,853.24 and 232,449.81

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Solution

The fourth proportional to 469,102.65, 703,853.24 and 232,449.81 is: 348,773.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,102.65 : 703,853.24 = 232,449.81 : x
  2. Step 2: Convert to fraction form
    469,102.65/703,853.24 = 232,449.81/x
  3. Step 3: Cross multiply
    469,102.65x = 703,853.24 × 232,449.81
  4. Step 4: Simplify right side
    469,102.65x = 163,610,550,743.64
  5. Step 5: Solve for x
    x = 163,610,550,743.64/469,102.65
  6. Step 6: Final answer
    x = 348,773.45

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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.