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Finding the Fourth Proportional to 496,894.50, 745,341.75 and 122,917.50

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Solution

The fourth proportional to 496,894.50, 745,341.75 and 122,917.50 is: 184,376.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,894.50 : 745,341.75 = 122,917.50 : x
  2. Step 2: Convert to fraction form
    496,894.50/745,341.75 = 122,917.50/x
  3. Step 3: Cross multiply
    496,894.50x = 745,341.75 × 122,917.50
  4. Step 4: Simplify right side
    496,894.50x = 91,615,544,555.63
  5. Step 5: Solve for x
    x = 91,615,544,555.63/496,894.50
  6. Step 6: Final answer
    x = 184,376.25

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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.