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Finding the Fourth Proportional to 402,608.84, 603,971.58 and 149,868.32

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Solution

The fourth proportional to 402,608.84, 603,971.58 and 149,868.32 is: 224,824.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,608.84 : 603,971.58 = 149,868.32 : x
  2. Step 2: Convert to fraction form
    402,608.84/603,971.58 = 149,868.32/x
  3. Step 3: Cross multiply
    402,608.84x = 603,971.58 × 149,868.32
  4. Step 4: Simplify right side
    402,608.84x = 90,516,206,022.35
  5. Step 5: Solve for x
    x = 90,516,206,022.35/402,608.84
  6. Step 6: Final answer
    x = 224,824.19

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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.