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Finding the Fourth Proportional to 405,563.14, 608,250.34 and 152,869.06

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Solution

The fourth proportional to 405,563.14, 608,250.34 and 152,869.06 is: 229,268.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,563.14 : 608,250.34 = 152,869.06 : x
  2. Step 2: Convert to fraction form
    405,563.14/608,250.34 = 152,869.06/x
  3. Step 3: Cross multiply
    405,563.14x = 608,250.34 × 152,869.06
  4. Step 4: Simplify right side
    405,563.14x = 92,982,657,720.48
  5. Step 5: Solve for x
    x = 92,982,657,720.48/405,563.14
  6. Step 6: Final answer
    x = 229,268.02

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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.