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Finding the Fourth Proportional to 312,064.40, 468,096.60 and 264,825.20

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Solution

The fourth proportional to 312,064.40, 468,096.60 and 264,825.20 is: 397,237.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,064.40 : 468,096.60 = 264,825.20 : x
  2. Step 2: Convert to fraction form
    312,064.40/468,096.60 = 264,825.20/x
  3. Step 3: Cross multiply
    312,064.40x = 468,096.60 × 264,825.20
  4. Step 4: Simplify right side
    312,064.40x = 123,963,775,714.32
  5. Step 5: Solve for x
    x = 123,963,775,714.32/312,064.40
  6. Step 6: Final answer
    x = 397,237.80

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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.