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Finding the Fourth Proportional to 469,056.40, 703,659.32 and 169,506.66

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Solution

The fourth proportional to 469,056.40, 703,659.32 and 169,506.66 is: 254,286.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,056.40 : 703,659.32 = 169,506.66 : x
  2. Step 2: Convert to fraction form
    469,056.40/703,659.32 = 169,506.66/x
  3. Step 3: Cross multiply
    469,056.40x = 703,659.32 × 169,506.66
  4. Step 4: Simplify right side
    469,056.40x = 119,274,941,111.07
  5. Step 5: Solve for x
    x = 119,274,941,111.07/469,056.40
  6. Step 6: Final answer
    x = 254,286.99

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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.