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Finding the Fourth Proportional to 402,426.40, 603,639.60 and 106,938.40

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Solution

The fourth proportional to 402,426.40, 603,639.60 and 106,938.40 is: 160,407.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,426.40 : 603,639.60 = 106,938.40 : x
  2. Step 2: Convert to fraction form
    402,426.40/603,639.60 = 106,938.40/x
  3. Step 3: Cross multiply
    402,426.40x = 603,639.60 × 106,938.40
  4. Step 4: Simplify right side
    402,426.40x = 64,552,253,000.64
  5. Step 5: Solve for x
    x = 64,552,253,000.64/402,426.40
  6. Step 6: Final answer
    x = 160,407.60

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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.