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Finding the Fourth Proportional to 292,980.34, 439,018.19 and 197,837.65

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Solution

The fourth proportional to 292,980.34, 439,018.19 and 197,837.65 is: 296,451.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,980.34 : 439,018.19 = 197,837.65 : x
  2. Step 2: Convert to fraction form
    292,980.34/439,018.19 = 197,837.65/x
  3. Step 3: Cross multiply
    292,980.34x = 439,018.19 × 197,837.65
  4. Step 4: Simplify right side
    292,980.34x = 86,854,327,016.85
  5. Step 5: Solve for x
    x = 86,854,327,016.85/292,980.34
  6. Step 6: Final answer
    x = 296,451.04

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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.