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Finding the Fourth Proportional to 378,075.60, 567,113.40 and 343,083.60

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Solution

The fourth proportional to 378,075.60, 567,113.40 and 343,083.60 is: 514,625.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,075.60 : 567,113.40 = 343,083.60 : x
  2. Step 2: Convert to fraction form
    378,075.60/567,113.40 = 343,083.60/x
  3. Step 3: Cross multiply
    378,075.60x = 567,113.40 × 343,083.60
  4. Step 4: Simplify right side
    378,075.60x = 194,567,306,880.24
  5. Step 5: Solve for x
    x = 194,567,306,880.24/378,075.60
  6. Step 6: Final answer
    x = 514,625.40

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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.