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Finding the Fourth Proportional to 762,340.31, 1,051,853.21 and 456,300.42

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Solution

The fourth proportional to 762,340.31, 1,051,853.21 and 456,300.42 is: 629,588.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,340.31 : 1,051,853.21 = 456,300.42 : x
  2. Step 2: Convert to fraction form
    762,340.31/1,051,853.21 = 456,300.42/x
  3. Step 3: Cross multiply
    762,340.31x = 1,051,853.21 × 456,300.42
  4. Step 4: Simplify right side
    762,340.31x = 479,961,061,501.35
  5. Step 5: Solve for x
    x = 479,961,061,501.35/762,340.31
  6. Step 6: Final answer
    x = 629,588.98

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