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Finding the Fourth Proportional to 468,427.40, 702,969.15 and 202,378.85

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Solution

The fourth proportional to 468,427.40, 702,969.15 and 202,378.85 is: 303,710.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,427.40 : 702,969.15 = 202,378.85 : x
  2. Step 2: Convert to fraction form
    468,427.40/702,969.15 = 202,378.85/x
  3. Step 3: Cross multiply
    468,427.40x = 702,969.15 × 202,378.85
  4. Step 4: Simplify right side
    468,427.40x = 142,266,088,162.48
  5. Step 5: Solve for x
    x = 142,266,088,162.48/468,427.40
  6. Step 6: Final answer
    x = 303,710.01

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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.