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Finding the Fourth Proportional to 563,957.36, 845,342 and 227,237.12

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Solution

The fourth proportional to 563,957.36, 845,342 and 227,237.12 is: 340,616.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,957.36 : 845,342 = 227,237.12 : x
  2. Step 2: Convert to fraction form
    563,957.36/845,342 = 227,237.12/x
  3. Step 3: Cross multiply
    563,957.36x = 845,342 × 227,237.12
  4. Step 4: Simplify right side
    563,957.36x = 192,093,081,495.04
  5. Step 5: Solve for x
    x = 192,093,081,495.04/563,957.36
  6. Step 6: Final answer
    x = 340,616.32

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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.