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Finding the Fourth Proportional to 369,510.48, 509,924.79 and 199,744.59

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Solution

The fourth proportional to 369,510.48, 509,924.79 and 199,744.59 is: 275,647.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,510.48 : 509,924.79 = 199,744.59 : x
  2. Step 2: Convert to fraction form
    369,510.48/509,924.79 = 199,744.59/x
  3. Step 3: Cross multiply
    369,510.48x = 509,924.79 × 199,744.59
  4. Step 4: Simplify right side
    369,510.48x = 101,854,718,109.39
  5. Step 5: Solve for x
    x = 101,854,718,109.39/369,510.48
  6. Step 6: Final answer
    x = 275,647.71

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1.5x scale

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.