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Finding the Fourth Proportional to 468,019.62, 702,087.81 and 152,391.78

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Solution

The fourth proportional to 468,019.62, 702,087.81 and 152,391.78 is: 228,606.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,019.62 : 702,087.81 = 152,391.78 : x
  2. Step 2: Convert to fraction form
    468,019.62/702,087.81 = 152,391.78/x
  3. Step 3: Cross multiply
    468,019.62x = 702,087.81 × 152,391.78
  4. Step 4: Simplify right side
    468,019.62x = 106,992,411,082.20
  5. Step 5: Solve for x
    x = 106,992,411,082.20/468,019.62
  6. Step 6: Final answer
    x = 228,606.68

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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.