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Finding the Fourth Proportional to 4,652,614.54, 6,978,924.34 and 1,457,990.74

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Solution

The fourth proportional to 4,652,614.54, 6,978,924.34 and 1,457,990.74 is: 2,186,986.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,652,614.54 : 6,978,924.34 = 1,457,990.74 : x
  2. Step 2: Convert to fraction form
    4,652,614.54/6,978,924.34 = 1,457,990.74/x
  3. Step 3: Cross multiply
    4,652,614.54x = 6,978,924.34 × 1,457,990.74
  4. Step 4: Simplify right side
    4,652,614.54x = 10,175,207,041,788.32
  5. Step 5: Solve for x
    x = 10,175,207,041,788.32/4,652,614.54
  6. Step 6: Final answer
    x = 2,186,986.90

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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.