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Finding the Fourth Proportional to 1,022,600, 1,534,125 and 302,885.84

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Solution

The fourth proportional to 1,022,600, 1,534,125 and 302,885.84 is: 454,395.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022,600 : 1,534,125 = 302,885.84 : x
  2. Step 2: Convert to fraction form
    1,022,600/1,534,125 = 302,885.84/x
  3. Step 3: Cross multiply
    1,022,600x = 1,534,125 × 302,885.84
  4. Step 4: Simplify right side
    1,022,600x = 464,664,739,290.00
  5. Step 5: Solve for x
    x = 464,664,739,290.00/1,022,600
  6. Step 6: Final answer
    x = 454,395.40

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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.