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Finding the Fourth Proportional to 298,295.91, 411,643.35 and 162,326.34

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Solution

The fourth proportional to 298,295.91, 411,643.35 and 162,326.34 is: 224,007.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,295.91 : 411,643.35 = 162,326.34 : x
  2. Step 2: Convert to fraction form
    298,295.91/411,643.35 = 162,326.34/x
  3. Step 3: Cross multiply
    298,295.91x = 411,643.35 × 162,326.34
  4. Step 4: Simplify right side
    298,295.91x = 66,820,558,390.84
  5. Step 5: Solve for x
    x = 66,820,558,390.84/298,295.91
  6. Step 6: Final answer
    x = 224,007.63

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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.