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Finding the Fourth Proportional to 996,771, 1,495,142.40 and 463,994.04

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Solution

The fourth proportional to 996,771, 1,495,142.40 and 463,994.04 is: 695,984.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    996,771 : 1,495,142.40 = 463,994.04 : x
  2. Step 2: Convert to fraction form
    996,771/1,495,142.40 = 463,994.04/x
  3. Step 3: Cross multiply
    996,771x = 1,495,142.40 × 463,994.04
  4. Step 4: Simplify right side
    996,771x = 693,737,162,551.30
  5. Step 5: Solve for x
    x = 693,737,162,551.30/996,771
  6. Step 6: Final answer
    x = 695,984.50

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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.