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Finding the Fourth Proportional to 470,540.97, 649,350.65 and 255,681.03

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Solution

The fourth proportional to 470,540.97, 649,350.65 and 255,681.03 is: 352,842.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,540.97 : 649,350.65 = 255,681.03 : x
  2. Step 2: Convert to fraction form
    470,540.97/649,350.65 = 255,681.03/x
  3. Step 3: Cross multiply
    470,540.97x = 649,350.65 × 255,681.03
  4. Step 4: Simplify right side
    470,540.97x = 166,026,643,552.04
  5. Step 5: Solve for x
    x = 166,026,643,552.04/470,540.97
  6. Step 6: Final answer
    x = 352,842.05

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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.