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Finding the Fourth Proportional to 292,352.56, 438,528.81 and 110,017.64

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Solution

The fourth proportional to 292,352.56, 438,528.81 and 110,017.64 is: 165,026.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,352.56 : 438,528.81 = 110,017.64 : x
  2. Step 2: Convert to fraction form
    292,352.56/438,528.81 = 110,017.64/x
  3. Step 3: Cross multiply
    292,352.56x = 438,528.81 × 110,017.64
  4. Step 4: Simplify right side
    292,352.56x = 48,245,904,198.12
  5. Step 5: Solve for x
    x = 48,245,904,198.12/292,352.56
  6. Step 6: Final answer
    x = 165,026.45

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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.