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Finding the Fourth Proportional to 292,393.40, 438,333.83 and 140,514.82

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Solution

The fourth proportional to 292,393.40, 438,333.83 and 140,514.82 is: 210,649.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,393.40 : 438,333.83 = 140,514.82 : x
  2. Step 2: Convert to fraction form
    292,393.40/438,333.83 = 140,514.82/x
  3. Step 3: Cross multiply
    292,393.40x = 438,333.83 × 140,514.82
  4. Step 4: Simplify right side
    292,393.40x = 61,592,397,950.88
  5. Step 5: Solve for x
    x = 61,592,397,950.88/292,393.40
  6. Step 6: Final answer
    x = 210,649.07

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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.