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Finding the Fourth Proportional to 292,475.64, 438,422.82 and 203,542.32

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Solution

The fourth proportional to 292,475.64, 438,422.82 and 203,542.32 is: 305,111.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,475.64 : 438,422.82 = 203,542.32 : x
  2. Step 2: Convert to fraction form
    292,475.64/438,422.82 = 203,542.32/x
  3. Step 3: Cross multiply
    292,475.64x = 438,422.82 × 203,542.32
  4. Step 4: Simplify right side
    292,475.64x = 89,237,597,923.74
  5. Step 5: Solve for x
    x = 89,237,597,923.74/292,475.64
  6. Step 6: Final answer
    x = 305,111.22

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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.