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Finding the Fourth Proportional to 474,764.34, 711,192.60 and 221,695.77

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Solution

The fourth proportional to 474,764.34, 711,192.60 and 221,695.77 is: 332,098.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,764.34 : 711,192.60 = 221,695.77 : x
  2. Step 2: Convert to fraction form
    474,764.34/711,192.60 = 221,695.77/x
  3. Step 3: Cross multiply
    474,764.34x = 711,192.60 × 221,695.77
  4. Step 4: Simplify right side
    474,764.34x = 157,668,391,075.30
  5. Step 5: Solve for x
    x = 157,668,391,075.30/474,764.34
  6. Step 6: Final answer
    x = 332,098.22

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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.