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Finding the Fourth Proportional to 402,494.57, 603,737.60 and 102,972.77

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Solution

The fourth proportional to 402,494.57, 603,737.60 and 102,972.77 is: 154,458.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,494.57 : 603,737.60 = 102,972.77 : x
  2. Step 2: Convert to fraction form
    402,494.57/603,737.60 = 102,972.77/x
  3. Step 3: Cross multiply
    402,494.57x = 603,737.60 × 102,972.77
  4. Step 4: Simplify right side
    402,494.57x = 62,168,532,334.84
  5. Step 5: Solve for x
    x = 62,168,532,334.84/402,494.57
  6. Step 6: Final answer
    x = 154,458.07

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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.