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Finding the Fourth Proportional to 365,701.47, 504,723.14 and 210,624

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Solution

The fourth proportional to 365,701.47, 504,723.14 and 210,624 is: 290,692.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,701.47 : 504,723.14 = 210,624 : x
  2. Step 2: Convert to fraction form
    365,701.47/504,723.14 = 210,624/x
  3. Step 3: Cross multiply
    365,701.47x = 504,723.14 × 210,624
  4. Step 4: Simplify right side
    365,701.47x = 106,306,806,639.36
  5. Step 5: Solve for x
    x = 106,306,806,639.36/365,701.47
  6. Step 6: Final answer
    x = 290,692.86

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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.