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Finding the Fourth Proportional to 1,649,472.60, 2,312,579.40 and 1,649,472.60

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Solution

The fourth proportional to 1,649,472.60, 2,312,579.40 and 1,649,472.60 is: 2,312,579.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,649,472.60 : 2,312,579.40 = 1,649,472.60 : x
  2. Step 2: Convert to fraction form
    1,649,472.60/2,312,579.40 = 1,649,472.60/x
  3. Step 3: Cross multiply
    1,649,472.60x = 2,312,579.40 × 1,649,472.60
  4. Step 4: Simplify right side
    1,649,472.60x = 3,814,536,355,624.44
  5. Step 5: Solve for x
    x = 3,814,536,355,624.44/1,649,472.60
  6. Step 6: Final answer
    x = 2,312,579.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.