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Finding the Fourth Proportional to 468,426.90, 702,968.40 and 202,378.35

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Solution

The fourth proportional to 468,426.90, 702,968.40 and 202,378.35 is: 303,709.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,426.90 : 702,968.40 = 202,378.35 : x
  2. Step 2: Convert to fraction form
    468,426.90/702,968.40 = 202,378.35/x
  3. Step 3: Cross multiply
    468,426.90x = 702,968.40 × 202,378.35
  4. Step 4: Simplify right side
    468,426.90x = 142,265,584,894.14
  5. Step 5: Solve for x
    x = 142,265,584,894.14/468,426.90
  6. Step 6: Final answer
    x = 303,709.26

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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.