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Finding the Fourth Proportional to 292,209.44, 438,333.60 and 102,646.76

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Solution

The fourth proportional to 292,209.44, 438,333.60 and 102,646.76 is: 153,976.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,209.44 : 438,333.60 = 102,646.76 : x
  2. Step 2: Convert to fraction form
    292,209.44/438,333.60 = 102,646.76/x
  3. Step 3: Cross multiply
    292,209.44x = 438,333.60 × 102,646.76
  4. Step 4: Simplify right side
    292,209.44x = 44,993,523,839.14
  5. Step 5: Solve for x
    x = 44,993,523,839.14/292,209.44
  6. Step 6: Final answer
    x = 153,976.97

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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.