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Finding the Fourth Proportional to 469,055.25, 703,573.02 and 114,071.13

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Solution

The fourth proportional to 469,055.25, 703,573.02 and 114,071.13 is: 171,104.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,055.25 : 703,573.02 = 114,071.13 : x
  2. Step 2: Convert to fraction form
    469,055.25/703,573.02 = 114,071.13/x
  3. Step 3: Cross multiply
    469,055.25x = 703,573.02 × 114,071.13
  4. Step 4: Simplify right side
    469,055.25x = 80,257,369,428.91
  5. Step 5: Solve for x
    x = 80,257,369,428.91/469,055.25
  6. Step 6: Final answer
    x = 171,104.30

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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.