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Finding the Fourth Proportional to 395,554.76, 593,266.52 and 142,786.77

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Solution

The fourth proportional to 395,554.76, 593,266.52 and 142,786.77 is: 214,156.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,554.76 : 593,266.52 = 142,786.77 : x
  2. Step 2: Convert to fraction form
    395,554.76/593,266.52 = 142,786.77/x
  3. Step 3: Cross multiply
    395,554.76x = 593,266.52 × 142,786.77
  4. Step 4: Simplify right side
    395,554.76x = 84,710,609,426.01
  5. Step 5: Solve for x
    x = 84,710,609,426.01/395,554.76
  6. Step 6: Final answer
    x = 214,156.47

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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.