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Finding the Fourth Proportional to 470,968.80, 651,648.42 and 410,665.20

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Solution

The fourth proportional to 470,968.80, 651,648.42 and 410,665.20 is: 568,210.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,968.80 : 651,648.42 = 410,665.20 : x
  2. Step 2: Convert to fraction form
    470,968.80/651,648.42 = 410,665.20/x
  3. Step 3: Cross multiply
    470,968.80x = 651,648.42 × 410,665.20
  4. Step 4: Simplify right side
    470,968.80x = 267,609,328,728.98
  5. Step 5: Solve for x
    x = 267,609,328,728.98/470,968.80
  6. Step 6: Final answer
    x = 568,210.31

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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.