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Finding the Fourth Proportional to 856,399.50, 1,284,549.84 and 257,347.80

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Solution

The fourth proportional to 856,399.50, 1,284,549.84 and 257,347.80 is: 386,006.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    856,399.50 : 1,284,549.84 = 257,347.80 : x
  2. Step 2: Convert to fraction form
    856,399.50/1,284,549.84 = 257,347.80/x
  3. Step 3: Cross multiply
    856,399.50x = 1,284,549.84 × 257,347.80
  4. Step 4: Simplify right side
    856,399.50x = 330,576,075,314.35
  5. Step 5: Solve for x
    x = 330,576,075,314.35/856,399.50
  6. Step 6: Final answer
    x = 386,006.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.