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Finding the Fourth Proportional to 437,810.40, 656,715.60 and 280,346.40

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Solution

The fourth proportional to 437,810.40, 656,715.60 and 280,346.40 is: 420,519.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,810.40 : 656,715.60 = 280,346.40 : x
  2. Step 2: Convert to fraction form
    437,810.40/656,715.60 = 280,346.40/x
  3. Step 3: Cross multiply
    437,810.40x = 656,715.60 × 280,346.40
  4. Step 4: Simplify right side
    437,810.40x = 184,107,854,283.84
  5. Step 5: Solve for x
    x = 184,107,854,283.84/437,810.40
  6. Step 6: Final answer
    x = 420,519.60

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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.