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Finding the Fourth Proportional to 5,677,752.60, 7,834,250.40 and 3,230,220.78

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Solution

The fourth proportional to 5,677,752.60, 7,834,250.40 and 3,230,220.78 is: 4,457,108.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,677,752.60 : 7,834,250.40 = 3,230,220.78 : x
  2. Step 2: Convert to fraction form
    5,677,752.60/7,834,250.40 = 3,230,220.78/x
  3. Step 3: Cross multiply
    5,677,752.60x = 7,834,250.40 × 3,230,220.78
  4. Step 4: Simplify right side
    5,677,752.60x = 25,306,358,437,803.31
  5. Step 5: Solve for x
    x = 25,306,358,437,803.31/5,677,752.60
  6. Step 6: Final answer
    x = 4,457,108.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.