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Finding the Fourth Proportional to 496,752.50, 685,518.54 and 270,398

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Solution

The fourth proportional to 496,752.50, 685,518.54 and 270,398 is: 373,149.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,752.50 : 685,518.54 = 270,398 : x
  2. Step 2: Convert to fraction form
    496,752.50/685,518.54 = 270,398/x
  3. Step 3: Cross multiply
    496,752.50x = 685,518.54 × 270,398
  4. Step 4: Simplify right side
    496,752.50x = 185,362,842,178.92
  5. Step 5: Solve for x
    x = 185,362,842,178.92/496,752.50
  6. Step 6: Final answer
    x = 373,149.29

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