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Finding the Fourth Proportional to 465,874.28, 698,817.88 and 306,967.47

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Solution

The fourth proportional to 465,874.28, 698,817.88 and 306,967.47 is: 460,455.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,874.28 : 698,817.88 = 306,967.47 : x
  2. Step 2: Convert to fraction form
    465,874.28/698,817.88 = 306,967.47/x
  3. Step 3: Cross multiply
    465,874.28x = 698,817.88 × 306,967.47
  4. Step 4: Simplify right side
    465,874.28x = 214,514,358,308.36
  5. Step 5: Solve for x
    x = 214,514,358,308.36/465,874.28
  6. Step 6: Final answer
    x = 460,455.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.