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Finding the Fourth Proportional to 492,740.90, 739,111.35 and 488,075.30

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Solution

The fourth proportional to 492,740.90, 739,111.35 and 488,075.30 is: 732,112.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,740.90 : 739,111.35 = 488,075.30 : x
  2. Step 2: Convert to fraction form
    492,740.90/739,111.35 = 488,075.30/x
  3. Step 3: Cross multiply
    492,740.90x = 739,111.35 × 488,075.30
  4. Step 4: Simplify right side
    492,740.90x = 360,741,993,884.66
  5. Step 5: Solve for x
    x = 360,741,993,884.66/492,740.90
  6. Step 6: Final answer
    x = 732,112.95

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Why These Related Problems?

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