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Finding the Fourth Proportional to 360,123.32, 496,957.47 and 198,975.44

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Solution

The fourth proportional to 360,123.32, 496,957.47 and 198,975.44 is: 274,579.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,123.32 : 496,957.47 = 198,975.44 : x
  2. Step 2: Convert to fraction form
    360,123.32/496,957.47 = 198,975.44/x
  3. Step 3: Cross multiply
    360,123.32x = 496,957.47 × 198,975.44
  4. Step 4: Simplify right side
    360,123.32x = 98,882,331,254.54
  5. Step 5: Solve for x
    x = 98,882,331,254.54/360,123.32
  6. Step 6: Final answer
    x = 274,579.08

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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.