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Finding the Fourth Proportional to 468,023.40, 702,035.10 and 202,302.90

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Solution

The fourth proportional to 468,023.40, 702,035.10 and 202,302.90 is: 303,454.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,023.40 : 702,035.10 = 202,302.90 : x
  2. Step 2: Convert to fraction form
    468,023.40/702,035.10 = 202,302.90/x
  3. Step 3: Cross multiply
    468,023.40x = 702,035.10 × 202,302.90
  4. Step 4: Simplify right side
    468,023.40x = 142,023,736,631.79
  5. Step 5: Solve for x
    x = 142,023,736,631.79/468,023.40
  6. Step 6: Final answer
    x = 303,454.35

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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.