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Finding the Fourth Proportional to 369,323.94, 509,666.24 and 199,558.07

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Solution

The fourth proportional to 369,323.94, 509,666.24 and 199,558.07 is: 275,389.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,323.94 : 509,666.24 = 199,558.07 : x
  2. Step 2: Convert to fraction form
    369,323.94/509,666.24 = 199,558.07/x
  3. Step 3: Cross multiply
    369,323.94x = 509,666.24 × 199,558.07
  4. Step 4: Simplify right side
    369,323.94x = 101,708,011,198.56
  5. Step 5: Solve for x
    x = 101,708,011,198.56/369,323.94
  6. Step 6: Final answer
    x = 275,389.71

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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.