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Finding the Fourth Proportional to 3,213,266.76, 4,786,503.24 and 3,039,226.76

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Solution

The fourth proportional to 3,213,266.76, 4,786,503.24 and 3,039,226.76 is: 4,527,252.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,213,266.76 : 4,786,503.24 = 3,039,226.76 : x
  2. Step 2: Convert to fraction form
    3,213,266.76/4,786,503.24 = 3,039,226.76/x
  3. Step 3: Cross multiply
    3,213,266.76x = 4,786,503.24 × 3,039,226.76
  4. Step 4: Simplify right side
    3,213,266.76x = 14,547,268,709,902.19
  5. Step 5: Solve for x
    x = 14,547,268,709,902.19/3,213,266.76
  6. Step 6: Final answer
    x = 4,527,252.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.