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Finding the Fourth Proportional to 469,004.56, 703,572.40 and 153,398.56

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Solution

The fourth proportional to 469,004.56, 703,572.40 and 153,398.56 is: 230,119.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,004.56 : 703,572.40 = 153,398.56 : x
  2. Step 2: Convert to fraction form
    469,004.56/703,572.40 = 153,398.56/x
  3. Step 3: Cross multiply
    469,004.56x = 703,572.40 × 153,398.56
  4. Step 4: Simplify right side
    469,004.56x = 107,926,993,015.74
  5. Step 5: Solve for x
    x = 107,926,993,015.74/469,004.56
  6. Step 6: Final answer
    x = 230,119.28

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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.