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Finding the Fourth Proportional to 395,769, 593,653.50 and 174,153

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Solution

The fourth proportional to 395,769, 593,653.50 and 174,153 is: 261,229.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,769 : 593,653.50 = 174,153 : x
  2. Step 2: Convert to fraction form
    395,769/593,653.50 = 174,153/x
  3. Step 3: Cross multiply
    395,769x = 593,653.50 × 174,153
  4. Step 4: Simplify right side
    395,769x = 103,386,537,985.50
  5. Step 5: Solve for x
    x = 103,386,537,985.50/395,769
  6. Step 6: Final answer
    x = 261,229.50

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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.