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Finding the Fourth Proportional to 465,588, 698,466.24 and 307,946.88

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Solution

The fourth proportional to 465,588, 698,466.24 and 307,946.88 is: 461,976.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,588 : 698,466.24 = 307,946.88 : x
  2. Step 2: Convert to fraction form
    465,588/698,466.24 = 307,946.88/x
  3. Step 3: Cross multiply
    465,588x = 698,466.24 × 307,946.88
  4. Step 4: Simplify right side
    465,588x = 215,090,499,393.33
  5. Step 5: Solve for x
    x = 215,090,499,393.33/465,588
  6. Step 6: Final answer
    x = 461,976.04

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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.