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Finding the Fourth Proportional to 262,561, 393,210.01 and 149,899.63

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Solution

The fourth proportional to 262,561, 393,210.01 and 149,899.63 is: 224,488.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,561 : 393,210.01 = 149,899.63 : x
  2. Step 2: Convert to fraction form
    262,561/393,210.01 = 149,899.63/x
  3. Step 3: Cross multiply
    262,561x = 393,210.01 × 149,899.63
  4. Step 4: Simplify right side
    262,561x = 58,942,035,011.30
  5. Step 5: Solve for x
    x = 58,942,035,011.30/262,561
  6. Step 6: Final answer
    x = 224,488.92

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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.