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Finding the Fourth Proportional to 307,835.80, 461,753.70 and 274,658.20

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Solution

The fourth proportional to 307,835.80, 461,753.70 and 274,658.20 is: 411,987.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,835.80 : 461,753.70 = 274,658.20 : x
  2. Step 2: Convert to fraction form
    307,835.80/461,753.70 = 274,658.20/x
  3. Step 3: Cross multiply
    307,835.80x = 461,753.70 × 274,658.20
  4. Step 4: Simplify right side
    307,835.80x = 126,824,440,085.34
  5. Step 5: Solve for x
    x = 126,824,440,085.34/307,835.80
  6. Step 6: Final answer
    x = 411,987.30

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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.