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Finding the Fourth Proportional to 4,612,478.94, 6,916,395.66 and 1,537,380.72

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Solution

The fourth proportional to 4,612,478.94, 6,916,395.66 and 1,537,380.72 is: 2,305,296.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,612,478.94 : 6,916,395.66 = 1,537,380.72 : x
  2. Step 2: Convert to fraction form
    4,612,478.94/6,916,395.66 = 1,537,380.72/x
  3. Step 3: Cross multiply
    4,612,478.94x = 6,916,395.66 × 1,537,380.72
  4. Step 4: Simplify right side
    4,612,478.94x = 10,633,133,339,575.68
  5. Step 5: Solve for x
    x = 10,633,133,339,575.68/4,612,478.94
  6. Step 6: Final answer
    x = 2,305,296.89

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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.