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Finding the Fourth Proportional to 384,010.38, 575,994 and 117,770.16

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Solution

The fourth proportional to 384,010.38, 575,994 and 117,770.16 is: 176,648.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,010.38 : 575,994 = 117,770.16 : x
  2. Step 2: Convert to fraction form
    384,010.38/575,994 = 117,770.16/x
  3. Step 3: Cross multiply
    384,010.38x = 575,994 × 117,770.16
  4. Step 4: Simplify right side
    384,010.38x = 67,834,905,539.04
  5. Step 5: Solve for x
    x = 67,834,905,539.04/384,010.38
  6. Step 6: Final answer
    x = 176,648.62

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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.