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Finding the Fourth Proportional to 395,189.42, 592,895.12 and 158,698.17

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Solution

The fourth proportional to 395,189.42, 592,895.12 and 158,698.17 is: 238,091.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,189.42 : 592,895.12 = 158,698.17 : x
  2. Step 2: Convert to fraction form
    395,189.42/592,895.12 = 158,698.17/x
  3. Step 3: Cross multiply
    395,189.42x = 592,895.12 × 158,698.17
  4. Step 4: Simplify right side
    395,189.42x = 94,091,369,752.44
  5. Step 5: Solve for x
    x = 94,091,369,752.44/395,189.42
  6. Step 6: Final answer
    x = 238,091.83

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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.