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Finding the Fourth Proportional to 395,426.16, 593,134.65 and 158,764.68

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Solution

The fourth proportional to 395,426.16, 593,134.65 and 158,764.68 is: 238,145.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,426.16 : 593,134.65 = 158,764.68 : x
  2. Step 2: Convert to fraction form
    395,426.16/593,134.65 = 158,764.68/x
  3. Step 3: Cross multiply
    395,426.16x = 593,134.65 × 158,764.68
  4. Step 4: Simplify right side
    395,426.16x = 94,168,832,904.16
  5. Step 5: Solve for x
    x = 94,168,832,904.16/395,426.16
  6. Step 6: Final answer
    x = 238,145.18

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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.