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Finding the Fourth Proportional to 986,582, 1,361,484.38 and 533,873

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Solution

The fourth proportional to 986,582, 1,361,484.38 and 533,873 is: 736,745.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    986,582 : 1,361,484.38 = 533,873 : x
  2. Step 2: Convert to fraction form
    986,582/1,361,484.38 = 533,873/x
  3. Step 3: Cross multiply
    986,582x = 1,361,484.38 × 533,873
  4. Step 4: Simplify right side
    986,582x = 726,859,750,403.74
  5. Step 5: Solve for x
    x = 726,859,750,403.74/986,582
  6. Step 6: Final answer
    x = 736,745.40

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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.