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Finding the Fourth Proportional to 590,585.07, 886,018.41 and 191,226

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Solution

The fourth proportional to 590,585.07, 886,018.41 and 191,226 is: 286,884.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,585.07 : 886,018.41 = 191,226 : x
  2. Step 2: Convert to fraction form
    590,585.07/886,018.41 = 191,226/x
  3. Step 3: Cross multiply
    590,585.07x = 886,018.41 × 191,226
  4. Step 4: Simplify right side
    590,585.07x = 169,429,756,470.66
  5. Step 5: Solve for x
    x = 169,429,756,470.66/590,585.07
  6. Step 6: Final answer
    x = 286,884.59

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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.