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Finding the Fourth Proportional to 395,205.21, 592,918.74 and 158,713.92

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Solution

The fourth proportional to 395,205.21, 592,918.74 and 158,713.92 is: 238,115.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,205.21 : 592,918.74 = 158,713.92 : x
  2. Step 2: Convert to fraction form
    395,205.21/592,918.74 = 158,713.92/x
  3. Step 3: Cross multiply
    395,205.21x = 592,918.74 × 158,713.92
  4. Step 4: Simplify right side
    395,205.21x = 94,104,457,466.86
  5. Step 5: Solve for x
    x = 94,104,457,466.86/395,205.21
  6. Step 6: Final answer
    x = 238,115.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.