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Finding the Fourth Proportional to 4,649,722.11, 6,974,654.22 and 1,771,248.74

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Solution

The fourth proportional to 4,649,722.11, 6,974,654.22 and 1,771,248.74 is: 2,656,900.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,649,722.11 : 6,974,654.22 = 1,771,248.74 : x
  2. Step 2: Convert to fraction form
    4,649,722.11/6,974,654.22 = 1,771,248.74/x
  3. Step 3: Cross multiply
    4,649,722.11x = 6,974,654.22 × 1,771,248.74
  4. Step 4: Simplify right side
    4,649,722.11x = 12,353,847,464,237.41
  5. Step 5: Solve for x
    x = 12,353,847,464,237.41/4,649,722.11
  6. Step 6: Final answer
    x = 2,656,900.17

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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.