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Finding the Fourth Proportional to 298,048.52, 411,308.92 and 162,083.95

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Solution

The fourth proportional to 298,048.52, 411,308.92 and 162,083.95 is: 223,676.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,048.52 : 411,308.92 = 162,083.95 : x
  2. Step 2: Convert to fraction form
    298,048.52/411,308.92 = 162,083.95/x
  3. Step 3: Cross multiply
    298,048.52x = 411,308.92 × 162,083.95
  4. Step 4: Simplify right side
    298,048.52x = 66,666,573,598.17
  5. Step 5: Solve for x
    x = 66,666,573,598.17/298,048.52
  6. Step 6: Final answer
    x = 223,676.91

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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.