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Finding the Fourth Proportional to 5,230,887.07, 7,846,355.65 and 1,587,648.60

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Solution

The fourth proportional to 5,230,887.07, 7,846,355.65 and 1,587,648.60 is: 2,381,480.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,230,887.07 : 7,846,355.65 = 1,587,648.60 : x
  2. Step 2: Convert to fraction form
    5,230,887.07/7,846,355.65 = 1,587,648.60/x
  3. Step 3: Cross multiply
    5,230,887.07x = 7,846,355.65 × 1,587,648.60
  4. Step 4: Simplify right side
    5,230,887.07x = 12,457,255,562,824.59
  5. Step 5: Solve for x
    x = 12,457,255,562,824.59/5,230,887.07
  6. Step 6: Final answer
    x = 2,381,480.50

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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.