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Finding the Fourth Proportional to 779,576, 1,075,815.42 and 421,880

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Solution

The fourth proportional to 779,576, 1,075,815.42 and 421,880 is: 582,194.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    779,576 : 1,075,815.42 = 421,880 : x
  2. Step 2: Convert to fraction form
    779,576/1,075,815.42 = 421,880/x
  3. Step 3: Cross multiply
    779,576x = 1,075,815.42 × 421,880
  4. Step 4: Simplify right side
    779,576x = 453,865,009,389.60
  5. Step 5: Solve for x
    x = 453,865,009,389.60/779,576
  6. Step 6: Final answer
    x = 582,194.69

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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.