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Finding the Fourth Proportional to 298,980.78, 414,374.50 and 293,382.06

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Solution

The fourth proportional to 298,980.78, 414,374.50 and 293,382.06 is: 406,614.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,980.78 : 414,374.50 = 293,382.06 : x
  2. Step 2: Convert to fraction form
    298,980.78/414,374.50 = 293,382.06/x
  3. Step 3: Cross multiply
    298,980.78x = 414,374.50 × 293,382.06
  4. Step 4: Simplify right side
    298,980.78x = 121,570,044,421.47
  5. Step 5: Solve for x
    x = 121,570,044,421.47/298,980.78
  6. Step 6: Final answer
    x = 406,614.91

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.