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Finding the Fourth Proportional to 4,652,632.14, 6,978,950.73 and 1,458,008.34

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Solution

The fourth proportional to 4,652,632.14, 6,978,950.73 and 1,458,008.34 is: 2,187,013.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,652,632.14 : 6,978,950.73 = 1,458,008.34 : x
  2. Step 2: Convert to fraction form
    4,652,632.14/6,978,950.73 = 1,458,008.34/x
  3. Step 3: Cross multiply
    4,652,632.14x = 6,978,950.73 × 1,458,008.34
  4. Step 4: Simplify right side
    4,652,632.14x = 10,175,368,368,789.09
  5. Step 5: Solve for x
    x = 10,175,368,368,789.09/4,652,632.14
  6. Step 6: Final answer
    x = 2,187,013.30

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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.