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Finding the Fourth Proportional to 726,582, 1,090,048 and 227,946

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Solution

The fourth proportional to 726,582, 1,090,048 and 227,946 is: 341,973.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    726,582 : 1,090,048 = 227,946 : x
  2. Step 2: Convert to fraction form
    726,582/1,090,048 = 227,946/x
  3. Step 3: Cross multiply
    726,582x = 1,090,048 × 227,946
  4. Step 4: Simplify right side
    726,582x = 248,472,081,408
  5. Step 5: Solve for x
    x = 248,472,081,408/726,582
  6. Step 6: Final answer
    x = 341,973.90

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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.