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Finding the Fourth Proportional to 369,176.81, 509,464.21 and 199,410.94

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Solution

The fourth proportional to 369,176.81, 509,464.21 and 199,410.94 is: 275,187.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,176.81 : 509,464.21 = 199,410.94 : x
  2. Step 2: Convert to fraction form
    369,176.81/509,464.21 = 199,410.94/x
  3. Step 3: Cross multiply
    369,176.81x = 509,464.21 × 199,410.94
  4. Step 4: Simplify right side
    369,176.81x = 101,592,735,240.27
  5. Step 5: Solve for x
    x = 101,592,735,240.27/369,176.81
  6. Step 6: Final answer
    x = 275,187.21

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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.