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Finding the Fourth Proportional to 468,428.40, 702,970.65 and 202,379.85

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Solution

The fourth proportional to 468,428.40, 702,970.65 and 202,379.85 is: 303,711.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,428.40 : 702,970.65 = 202,379.85 : x
  2. Step 2: Convert to fraction form
    468,428.40/702,970.65 = 202,379.85/x
  3. Step 3: Cross multiply
    468,428.40x = 702,970.65 × 202,379.85
  4. Step 4: Simplify right side
    468,428.40x = 142,267,094,701.40
  5. Step 5: Solve for x
    x = 142,267,094,701.40/468,428.40
  6. Step 6: Final answer
    x = 303,711.51

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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.