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Finding the Fourth Proportional to 464,694.10, 697,070.31 and 149,144.02

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Solution

The fourth proportional to 464,694.10, 697,070.31 and 149,144.02 is: 223,725.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,694.10 : 697,070.31 = 149,144.02 : x
  2. Step 2: Convert to fraction form
    464,694.10/697,070.31 = 149,144.02/x
  3. Step 3: Cross multiply
    464,694.10x = 697,070.31 × 149,144.02
  4. Step 4: Simplify right side
    464,694.10x = 103,963,868,256.05
  5. Step 5: Solve for x
    x = 103,963,868,256.05/464,694.10
  6. Step 6: Final answer
    x = 223,725.39

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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.