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Finding the Fourth Proportional to 4,774,664.78, 7,163,310.51 and 1,408,871.78

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Solution

The fourth proportional to 4,774,664.78, 7,163,310.51 and 1,408,871.78 is: 2,113,695.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,774,664.78 : 7,163,310.51 = 1,408,871.78 : x
  2. Step 2: Convert to fraction form
    4,774,664.78/7,163,310.51 = 1,408,871.78/x
  3. Step 3: Cross multiply
    4,774,664.78x = 7,163,310.51 × 1,408,871.78
  4. Step 4: Simplify right side
    4,774,664.78x = 10,092,186,028,916.41
  5. Step 5: Solve for x
    x = 10,092,186,028,916.41/4,774,664.78
  6. Step 6: Final answer
    x = 2,113,695.20

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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.