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Finding the Fourth Proportional to 294,309.60, 406,127.28 and 160,170.72

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Solution

The fourth proportional to 294,309.60, 406,127.28 and 160,170.72 is: 221,024.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,309.60 : 406,127.28 = 160,170.72 : x
  2. Step 2: Convert to fraction form
    294,309.60/406,127.28 = 160,170.72/x
  3. Step 3: Cross multiply
    294,309.60x = 406,127.28 × 160,170.72
  4. Step 4: Simplify right side
    294,309.60x = 65,049,698,849.24
  5. Step 5: Solve for x
    x = 65,049,698,849.24/294,309.60
  6. Step 6: Final answer
    x = 221,024.73

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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.