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Finding the Fourth Proportional to 395,666.40, 593,485.20 and 158,944.80

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Solution

The fourth proportional to 395,666.40, 593,485.20 and 158,944.80 is: 238,411.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,666.40 : 593,485.20 = 158,944.80 : x
  2. Step 2: Convert to fraction form
    395,666.40/593,485.20 = 158,944.80/x
  3. Step 3: Cross multiply
    395,666.40x = 593,485.20 × 158,944.80
  4. Step 4: Simplify right side
    395,666.40x = 94,331,386,416.96
  5. Step 5: Solve for x
    x = 94,331,386,416.96/395,666.40
  6. Step 6: Final answer
    x = 238,411.42

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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.