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Finding the Fourth Proportional to 447,830, 618,025.36 and 264,075.92

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Solution

The fourth proportional to 447,830, 618,025.36 and 264,075.92 is: 364,436.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,830 : 618,025.36 = 264,075.92 : x
  2. Step 2: Convert to fraction form
    447,830/618,025.36 = 264,075.92/x
  3. Step 3: Cross multiply
    447,830x = 618,025.36 × 264,075.92
  4. Step 4: Simplify right side
    447,830x = 163,205,615,525.33
  5. Step 5: Solve for x
    x = 163,205,615,525.33/447,830
  6. Step 6: Final answer
    x = 364,436.54

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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.