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Finding the Fourth Proportional to 369,532.32, 509,955.90 and 199,766.44

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Solution

The fourth proportional to 369,532.32, 509,955.90 and 199,766.44 is: 275,678.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,532.32 : 509,955.90 = 199,766.44 : x
  2. Step 2: Convert to fraction form
    369,532.32/509,955.90 = 199,766.44/x
  3. Step 3: Cross multiply
    369,532.32x = 509,955.90 × 199,766.44
  4. Step 4: Simplify right side
    369,532.32x = 101,872,074,700.00
  5. Step 5: Solve for x
    x = 101,872,074,700.00/369,532.32
  6. Step 6: Final answer
    x = 275,678.39

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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.