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Finding the Fourth Proportional to 464,908.10, 697,034.10 and 212,309.60

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Solution

The fourth proportional to 464,908.10, 697,034.10 and 212,309.60 is: 318,314.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,908.10 : 697,034.10 = 212,309.60 : x
  2. Step 2: Convert to fraction form
    464,908.10/697,034.10 = 212,309.60/x
  3. Step 3: Cross multiply
    464,908.10x = 697,034.10 × 212,309.60
  4. Step 4: Simplify right side
    464,908.10x = 147,987,030,957.36
  5. Step 5: Solve for x
    x = 147,987,030,957.36/464,908.10
  6. Step 6: Final answer
    x = 318,314.59

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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.