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Finding the Fourth Proportional to 402,477.40, 603,716.10 and 106,989.40

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Solution

The fourth proportional to 402,477.40, 603,716.10 and 106,989.40 is: 160,484.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,477.40 : 603,716.10 = 106,989.40 : x
  2. Step 2: Convert to fraction form
    402,477.40/603,716.10 = 106,989.40/x
  3. Step 3: Cross multiply
    402,477.40x = 603,716.10 × 106,989.40
  4. Step 4: Simplify right side
    402,477.40x = 64,591,223,309.34
  5. Step 5: Solve for x
    x = 64,591,223,309.34/402,477.40
  6. Step 6: Final answer
    x = 160,484.10

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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.