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Finding the Fourth Proportional to 762,236.40, 1,051,950.84 and 422,814

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Solution

The fourth proportional to 762,236.40, 1,051,950.84 and 422,814 is: 583,519.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,236.40 : 1,051,950.84 = 422,814 : x
  2. Step 2: Convert to fraction form
    762,236.40/1,051,950.84 = 422,814/x
  3. Step 3: Cross multiply
    762,236.40x = 1,051,950.84 × 422,814
  4. Step 4: Simplify right side
    762,236.40x = 444,779,542,463.76
  5. Step 5: Solve for x
    x = 444,779,542,463.76/762,236.40
  6. Step 6: Final answer
    x = 583,519.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.