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Finding the Fourth Proportional to 294,732.20, 406,730.40 and 160,596.20

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Solution

The fourth proportional to 294,732.20, 406,730.40 and 160,596.20 is: 221,622.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,732.20 : 406,730.40 = 160,596.20 : x
  2. Step 2: Convert to fraction form
    294,732.20/406,730.40 = 160,596.20/x
  3. Step 3: Cross multiply
    294,732.20x = 406,730.40 × 160,596.20
  4. Step 4: Simplify right side
    294,732.20x = 65,319,356,664.48
  5. Step 5: Solve for x
    x = 65,319,356,664.48/294,732.20
  6. Step 6: Final answer
    x = 221,622.74

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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.