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Finding the Fourth Proportional to 6,217,308.16, 9,325,978.88 and 1,729,584.64

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Solution

The fourth proportional to 6,217,308.16, 9,325,978.88 and 1,729,584.64 is: 2,594,381.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,217,308.16 : 9,325,978.88 = 1,729,584.64 : x
  2. Step 2: Convert to fraction form
    6,217,308.16/9,325,978.88 = 1,729,584.64/x
  3. Step 3: Cross multiply
    6,217,308.16x = 9,325,978.88 × 1,729,584.64
  4. Step 4: Simplify right side
    6,217,308.16x = 16,130,069,823,812.40
  5. Step 5: Solve for x
    x = 16,130,069,823,812.40/6,217,308.16
  6. Step 6: Final answer
    x = 2,594,381.59

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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.