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Finding the Fourth Proportional to 430,240, 593,745.74 and 236,655.96

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Solution

The fourth proportional to 430,240, 593,745.74 and 236,655.96 is: 326,593.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,240 : 593,745.74 = 236,655.96 : x
  2. Step 2: Convert to fraction form
    430,240/593,745.74 = 236,655.96/x
  3. Step 3: Cross multiply
    430,240x = 593,745.74 × 236,655.96
  4. Step 4: Simplify right side
    430,240x = 140,513,468,095.61
  5. Step 5: Solve for x
    x = 140,513,468,095.61/430,240
  6. Step 6: Final answer
    x = 326,593.22

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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.