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Finding the Fourth Proportional to 395,366.94, 593,057.52 and 142,666.38

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Solution

The fourth proportional to 395,366.94, 593,057.52 and 142,666.38 is: 214,002.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,366.94 : 593,057.52 = 142,666.38 : x
  2. Step 2: Convert to fraction form
    395,366.94/593,057.52 = 142,666.38/x
  3. Step 3: Cross multiply
    395,366.94x = 593,057.52 × 142,666.38
  4. Step 4: Simplify right side
    395,366.94x = 84,609,369,510.18
  5. Step 5: Solve for x
    x = 84,609,369,510.18/395,366.94
  6. Step 6: Final answer
    x = 214,002.14

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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.