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Finding the Fourth Proportional to 395,302.88, 593,065.17 and 158,811.63

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Solution

The fourth proportional to 395,302.88, 593,065.17 and 158,811.63 is: 238,261.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,302.88 : 593,065.17 = 158,811.63 : x
  2. Step 2: Convert to fraction form
    395,302.88/593,065.17 = 158,811.63/x
  3. Step 3: Cross multiply
    395,302.88x = 593,065.17 × 158,811.63
  4. Step 4: Simplify right side
    395,302.88x = 94,185,646,343.93
  5. Step 5: Solve for x
    x = 94,185,646,343.93/395,302.88
  6. Step 6: Final answer
    x = 238,261.98

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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.