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Finding the Fourth Proportional to 369,182.08, 509,471.58 and 199,416.34

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Solution

The fourth proportional to 369,182.08, 509,471.58 and 199,416.34 is: 275,194.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,182.08 : 509,471.58 = 199,416.34 : x
  2. Step 2: Convert to fraction form
    369,182.08/509,471.58 = 199,416.34/x
  3. Step 3: Cross multiply
    369,182.08x = 509,471.58 × 199,416.34
  4. Step 4: Simplify right side
    369,182.08x = 101,596,957,817.62
  5. Step 5: Solve for x
    x = 101,596,957,817.62/369,182.08
  6. Step 6: Final answer
    x = 275,194.72

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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.