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Finding the Fourth Proportional to 442,698.94, 610,923.27 and 241,493.50

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Solution

The fourth proportional to 442,698.94, 610,923.27 and 241,493.50 is: 333,260.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,698.94 : 610,923.27 = 241,493.50 : x
  2. Step 2: Convert to fraction form
    442,698.94/610,923.27 = 241,493.50/x
  3. Step 3: Cross multiply
    442,698.94x = 610,923.27 × 241,493.50
  4. Step 4: Simplify right side
    442,698.94x = 147,533,998,703.75
  5. Step 5: Solve for x
    x = 147,533,998,703.75/442,698.94
  6. Step 6: Final answer
    x = 333,260.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.