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Finding the Fourth Proportional to 492,751.80, 739,127.70 and 282,216.60

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Solution

The fourth proportional to 492,751.80, 739,127.70 and 282,216.60 is: 423,324.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,751.80 : 739,127.70 = 282,216.60 : x
  2. Step 2: Convert to fraction form
    492,751.80/739,127.70 = 282,216.60/x
  3. Step 3: Cross multiply
    492,751.80x = 739,127.70 × 282,216.60
  4. Step 4: Simplify right side
    492,751.80x = 208,594,106,459.82
  5. Step 5: Solve for x
    x = 208,594,106,459.82/492,751.80
  6. Step 6: Final answer
    x = 423,324.90

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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.