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Finding the Fourth Proportional to 986,590, 1,361,495.42 and 533,881

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Solution

The fourth proportional to 986,590, 1,361,495.42 and 533,881 is: 736,756.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    986,590 : 1,361,495.42 = 533,881 : x
  2. Step 2: Convert to fraction form
    986,590/1,361,495.42 = 533,881/x
  3. Step 3: Cross multiply
    986,590x = 1,361,495.42 × 533,881
  4. Step 4: Simplify right side
    986,590x = 726,876,536,325.02
  5. Step 5: Solve for x
    x = 726,876,536,325.02/986,590
  6. Step 6: Final answer
    x = 736,756.44

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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.