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Finding the Fourth Proportional to 430,053.76, 593,422.50 and 236,429.61

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Solution

The fourth proportional to 430,053.76, 593,422.50 and 236,429.61 is: 326,244.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,053.76 : 593,422.50 = 236,429.61 : x
  2. Step 2: Convert to fraction form
    430,053.76/593,422.50 = 236,429.61/x
  3. Step 3: Cross multiply
    430,053.76x = 593,422.50 × 236,429.61
  4. Step 4: Simplify right side
    430,053.76x = 140,302,650,240.23
  5. Step 5: Solve for x
    x = 140,302,650,240.23/430,053.76
  6. Step 6: Final answer
    x = 326,244.44

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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.