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Finding the Fourth Proportional to 456,302.44, 684,570.30 and 189,974.44

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Solution

The fourth proportional to 456,302.44, 684,570.30 and 189,974.44 is: 285,010.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,302.44 : 684,570.30 = 189,974.44 : x
  2. Step 2: Convert to fraction form
    456,302.44/684,570.30 = 189,974.44/x
  3. Step 3: Cross multiply
    456,302.44x = 684,570.30 × 189,974.44
  4. Step 4: Simplify right side
    456,302.44x = 130,050,859,383.13
  5. Step 5: Solve for x
    x = 130,050,859,383.13/456,302.44
  6. Step 6: Final answer
    x = 285,010.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.