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Finding the Fourth Proportional to 469,203.12, 703,656 and 169,644.06

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Solution

The fourth proportional to 469,203.12, 703,656 and 169,644.06 is: 254,412.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,203.12 : 703,656 = 169,644.06 : x
  2. Step 2: Convert to fraction form
    469,203.12/703,656 = 169,644.06/x
  3. Step 3: Cross multiply
    469,203.12x = 703,656 × 169,644.06
  4. Step 4: Simplify right side
    469,203.12x = 119,371,060,683.36
  5. Step 5: Solve for x
    x = 119,371,060,683.36/469,203.12
  6. Step 6: Final answer
    x = 254,412.33

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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.