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Finding the Fourth Proportional to 430,053.90, 593,556.64 and 284,861.40

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Solution

The fourth proportional to 430,053.90, 593,556.64 and 284,861.40 is: 393,163.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,053.90 : 593,556.64 = 284,861.40 : x
  2. Step 2: Convert to fraction form
    430,053.90/593,556.64 = 284,861.40/x
  3. Step 3: Cross multiply
    430,053.90x = 593,556.64 × 284,861.40
  4. Step 4: Simplify right side
    430,053.90x = 169,081,375,449.70
  5. Step 5: Solve for x
    x = 169,081,375,449.70/430,053.90
  6. Step 6: Final answer
    x = 393,163.22

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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.