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Finding the Fourth Proportional to 294,571.86, 406,498.53 and 180,042.18

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Solution

The fourth proportional to 294,571.86, 406,498.53 and 180,042.18 is: 248,451.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,571.86 : 406,498.53 = 180,042.18 : x
  2. Step 2: Convert to fraction form
    294,571.86/406,498.53 = 180,042.18/x
  3. Step 3: Cross multiply
    294,571.86x = 406,498.53 × 180,042.18
  4. Step 4: Simplify right side
    294,571.86x = 73,186,881,508.00
  5. Step 5: Solve for x
    x = 73,186,881,508.00/294,571.86
  6. Step 6: Final answer
    x = 248,451.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.