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Finding the Fourth Proportional to 288,044.70, 397,461.96 and 160,695.60

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Solution

The fourth proportional to 288,044.70, 397,461.96 and 160,695.60 is: 221,737.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,044.70 : 397,461.96 = 160,695.60 : x
  2. Step 2: Convert to fraction form
    288,044.70/397,461.96 = 160,695.60/x
  3. Step 3: Cross multiply
    288,044.70x = 397,461.96 × 160,695.60
  4. Step 4: Simplify right side
    288,044.70x = 63,870,388,139.38
  5. Step 5: Solve for x
    x = 63,870,388,139.38/288,044.70
  6. Step 6: Final answer
    x = 221,737.77

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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.