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Finding the Fourth Proportional to 733,829.40, 1,026,117 and 733,829.40

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Solution

The fourth proportional to 733,829.40, 1,026,117 and 733,829.40 is: 1,026,117

Step by Step Solution

  1. Step 1: Write the proportion equation
    733,829.40 : 1,026,117 = 733,829.40 : x
  2. Step 2: Convert to fraction form
    733,829.40/1,026,117 = 733,829.40/x
  3. Step 3: Cross multiply
    733,829.40x = 1,026,117 × 733,829.40
  4. Step 4: Simplify right side
    733,829.40x = 752,994,822,439.80
  5. Step 5: Solve for x
    x = 752,994,822,439.80/733,829.40
  6. Step 6: Final answer
    x = 1,026,117

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.