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Finding the Fourth Proportional to 278,313.60, 417,567.60 and 100,826.40

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Solution

The fourth proportional to 278,313.60, 417,567.60 and 100,826.40 is: 151,274.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,313.60 : 417,567.60 = 100,826.40 : x
  2. Step 2: Convert to fraction form
    278,313.60/417,567.60 = 100,826.40/x
  3. Step 3: Cross multiply
    278,313.60x = 417,567.60 × 100,826.40
  4. Step 4: Simplify right side
    278,313.60x = 42,101,837,864.64
  5. Step 5: Solve for x
    x = 42,101,837,864.64/278,313.60
  6. Step 6: Final answer
    x = 151,274.81

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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.