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Finding the Fourth Proportional to 413,199.52, 619,842.48 and 146,984.56

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Solution

The fourth proportional to 413,199.52, 619,842.48 and 146,984.56 is: 220,492.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,199.52 : 619,842.48 = 146,984.56 : x
  2. Step 2: Convert to fraction form
    413,199.52/619,842.48 = 146,984.56/x
  3. Step 3: Cross multiply
    413,199.52x = 619,842.48 × 146,984.56
  4. Step 4: Simplify right side
    413,199.52x = 91,107,274,192.11
  5. Step 5: Solve for x
    x = 91,107,274,192.11/413,199.52
  6. Step 6: Final answer
    x = 220,492.21

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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.