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Finding the Fourth Proportional to 470,343.36, 648,825.04 and 297,957.20

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Solution

The fourth proportional to 470,343.36, 648,825.04 and 297,957.20 is: 411,023.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,343.36 : 648,825.04 = 297,957.20 : x
  2. Step 2: Convert to fraction form
    470,343.36/648,825.04 = 297,957.20/x
  3. Step 3: Cross multiply
    470,343.36x = 648,825.04 × 297,957.20
  4. Step 4: Simplify right side
    470,343.36x = 193,322,092,208.29
  5. Step 5: Solve for x
    x = 193,322,092,208.29/470,343.36
  6. Step 6: Final answer
    x = 411,023.33

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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.