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Finding the Fourth Proportional to 1,765,835.28, 2,649,147.78 and 643,904.28

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Solution

The fourth proportional to 1,765,835.28, 2,649,147.78 and 643,904.28 is: 966,000.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,765,835.28 : 2,649,147.78 = 643,904.28 : x
  2. Step 2: Convert to fraction form
    1,765,835.28/2,649,147.78 = 643,904.28/x
  3. Step 3: Cross multiply
    1,765,835.28x = 2,649,147.78 × 643,904.28
  4. Step 4: Simplify right side
    1,765,835.28x = 1,705,797,593,894.50
  5. Step 5: Solve for x
    x = 1,705,797,593,894.50/1,765,835.28
  6. Step 6: Final answer
    x = 966,000.40

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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.