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Finding the Fourth Proportional to 485,201.80, 727,802.70 and 465,848.20

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Solution

The fourth proportional to 485,201.80, 727,802.70 and 465,848.20 is: 698,772.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,201.80 : 727,802.70 = 465,848.20 : x
  2. Step 2: Convert to fraction form
    485,201.80/727,802.70 = 465,848.20/x
  3. Step 3: Cross multiply
    485,201.80x = 727,802.70 × 465,848.20
  4. Step 4: Simplify right side
    485,201.80x = 339,045,577,750.14
  5. Step 5: Solve for x
    x = 339,045,577,750.14/485,201.80
  6. Step 6: Final answer
    x = 698,772.30

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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.