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Finding the Fourth Proportional to 464,563.80, 697,076.10 and 265,037.40

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Solution

The fourth proportional to 464,563.80, 697,076.10 and 265,037.40 is: 397,687.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,563.80 : 697,076.10 = 265,037.40 : x
  2. Step 2: Convert to fraction form
    464,563.80/697,076.10 = 265,037.40/x
  3. Step 3: Cross multiply
    464,563.80x = 697,076.10 × 265,037.40
  4. Step 4: Simplify right side
    464,563.80x = 184,751,237,146.14
  5. Step 5: Solve for x
    x = 184,751,237,146.14/464,563.80
  6. Step 6: Final answer
    x = 397,687.55

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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.