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Finding the Fourth Proportional to 417,108, 575,605.62 and 226,116.48

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Solution

The fourth proportional to 417,108, 575,605.62 and 226,116.48 is: 312,038.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,108 : 575,605.62 = 226,116.48 : x
  2. Step 2: Convert to fraction form
    417,108/575,605.62 = 226,116.48/x
  3. Step 3: Cross multiply
    417,108x = 575,605.62 × 226,116.48
  4. Step 4: Simplify right side
    417,108x = 130,153,916,662.62
  5. Step 5: Solve for x
    x = 130,153,916,662.62/417,108
  6. Step 6: Final answer
    x = 312,038.89

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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.