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Finding the Fourth Proportional to 298,026.52, 411,281.48 and 162,063.16

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Solution

The fourth proportional to 298,026.52, 411,281.48 and 162,063.16 is: 223,649.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,026.52 : 411,281.48 = 162,063.16 : x
  2. Step 2: Convert to fraction form
    298,026.52/411,281.48 = 162,063.16/x
  3. Step 3: Cross multiply
    298,026.52x = 411,281.48 × 162,063.16
  4. Step 4: Simplify right side
    298,026.52x = 66,653,576,298.28
  5. Step 5: Solve for x
    x = 66,653,576,298.28/298,026.52
  6. Step 6: Final answer
    x = 223,649.82

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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.