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Finding the Fourth Proportional to 395,307.12, 593,071.54 and 158,815.88

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Solution

The fourth proportional to 395,307.12, 593,071.54 and 158,815.88 is: 238,268.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,307.12 : 593,071.54 = 158,815.88 : x
  2. Step 2: Convert to fraction form
    395,307.12/593,071.54 = 158,815.88/x
  3. Step 3: Cross multiply
    395,307.12x = 593,071.54 × 158,815.88
  4. Step 4: Simplify right side
    395,307.12x = 94,189,178,528.06
  5. Step 5: Solve for x
    x = 94,189,178,528.06/395,307.12
  6. Step 6: Final answer
    x = 238,268.36

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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.