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Finding the Fourth Proportional to 469,302, 703,964.52 and 169,810.80

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Solution

The fourth proportional to 469,302, 703,964.52 and 169,810.80 is: 254,720.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,302 : 703,964.52 = 169,810.80 : x
  2. Step 2: Convert to fraction form
    469,302/703,964.52 = 169,810.80/x
  3. Step 3: Cross multiply
    469,302x = 703,964.52 × 169,810.80
  4. Step 4: Simplify right side
    469,302x = 119,540,778,312.82
  5. Step 5: Solve for x
    x = 119,540,778,312.82/469,302
  6. Step 6: Final answer
    x = 254,720.37

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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.