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Finding the Fourth Proportional to 4,672,684.80, 7,007,644.80 and 1,831,161.60

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Solution

The fourth proportional to 4,672,684.80, 7,007,644.80 and 1,831,161.60 is: 2,746,200.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,672,684.80 : 7,007,644.80 = 1,831,161.60 : x
  2. Step 2: Convert to fraction form
    4,672,684.80/7,007,644.80 = 1,831,161.60/x
  3. Step 3: Cross multiply
    4,672,684.80x = 7,007,644.80 × 1,831,161.60
  4. Step 4: Simplify right side
    4,672,684.80x = 12,832,130,064,199.68
  5. Step 5: Solve for x
    x = 12,832,130,064,199.68/4,672,684.80
  6. Step 6: Final answer
    x = 2,746,200.66

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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.