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Finding the Fourth Proportional to 395,582, 593,447.40 and 158,943.60

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Solution

The fourth proportional to 395,582, 593,447.40 and 158,943.60 is: 238,445.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,582 : 593,447.40 = 158,943.60 : x
  2. Step 2: Convert to fraction form
    395,582/593,447.40 = 158,943.60/x
  3. Step 3: Cross multiply
    395,582x = 593,447.40 × 158,943.60
  4. Step 4: Simplify right side
    395,582x = 94,324,666,166.64
  5. Step 5: Solve for x
    x = 94,324,666,166.64/395,582
  6. Step 6: Final answer
    x = 238,445.29

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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.