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Finding the Fourth Proportional to 298,254.80, 411,385.56 and 249,060.80

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Solution

The fourth proportional to 298,254.80, 411,385.56 and 249,060.80 is: 343,531.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,254.80 : 411,385.56 = 249,060.80 : x
  2. Step 2: Convert to fraction form
    298,254.80/411,385.56 = 249,060.80/x
  3. Step 3: Cross multiply
    298,254.80x = 411,385.56 × 249,060.80
  4. Step 4: Simplify right side
    298,254.80x = 102,460,016,682.05
  5. Step 5: Solve for x
    x = 102,460,016,682.05/298,254.80
  6. Step 6: Final answer
    x = 343,531.83

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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.