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Finding the Fourth Proportional to 469,277.54, 703,943.70 and 181,090.70

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Solution

The fourth proportional to 469,277.54, 703,943.70 and 181,090.70 is: 271,646.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,277.54 : 703,943.70 = 181,090.70 : x
  2. Step 2: Convert to fraction form
    469,277.54/703,943.70 = 181,090.70/x
  3. Step 3: Cross multiply
    469,277.54x = 703,943.70 × 181,090.70
  4. Step 4: Simplify right side
    469,277.54x = 127,477,657,393.59
  5. Step 5: Solve for x
    x = 127,477,657,393.59/469,277.54
  6. Step 6: Final answer
    x = 271,646.62

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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.