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Finding the Fourth Proportional to 1,932,457.21, 2,885,672.50 and 1,578,174.01

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Solution

The fourth proportional to 1,932,457.21, 2,885,672.50 and 1,578,174.01 is: 2,356,633.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,932,457.21 : 2,885,672.50 = 1,578,174.01 : x
  2. Step 2: Convert to fraction form
    1,932,457.21/2,885,672.50 = 1,578,174.01/x
  3. Step 3: Cross multiply
    1,932,457.21x = 2,885,672.50 × 1,578,174.01
  4. Step 4: Simplify right side
    1,932,457.21x = 4,554,093,340,871.72
  5. Step 5: Solve for x
    x = 4,554,093,340,871.72/1,932,457.21
  6. Step 6: Final answer
    x = 2,356,633.47

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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.