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Finding the Fourth Proportional to 430,295.92, 593,823 and 236,712.16

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Solution

The fourth proportional to 430,295.92, 593,823 and 236,712.16 is: 326,670.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,295.92 : 593,823 = 236,712.16 : x
  2. Step 2: Convert to fraction form
    430,295.92/593,823 = 236,712.16/x
  3. Step 3: Cross multiply
    430,295.92x = 593,823 × 236,712.16
  4. Step 4: Simplify right side
    430,295.92x = 140,565,124,987.68
  5. Step 5: Solve for x
    x = 140,565,124,987.68/430,295.92
  6. Step 6: Final answer
    x = 326,670.83

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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.