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Finding the Fourth Proportional to 596,483.76, 822,876.44 and 354,629.20

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Solution

The fourth proportional to 596,483.76, 822,876.44 and 354,629.20 is: 489,227.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,483.76 : 822,876.44 = 354,629.20 : x
  2. Step 2: Convert to fraction form
    596,483.76/822,876.44 = 354,629.20/x
  3. Step 3: Cross multiply
    596,483.76x = 822,876.44 × 354,629.20
  4. Step 4: Simplify right side
    596,483.76x = 291,816,013,616.05
  5. Step 5: Solve for x
    x = 291,816,013,616.05/596,483.76
  6. Step 6: Final answer
    x = 489,227.09

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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.