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Finding the Fourth Proportional to 464,699.25, 695,694.95 and 345,285.46

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Solution

The fourth proportional to 464,699.25, 695,694.95 and 345,285.46 is: 516,922.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,699.25 : 695,694.95 = 345,285.46 : x
  2. Step 2: Convert to fraction form
    464,699.25/695,694.95 = 345,285.46/x
  3. Step 3: Cross multiply
    464,699.25x = 695,694.95 × 345,285.46
  4. Step 4: Simplify right side
    464,699.25x = 240,213,350,282.91
  5. Step 5: Solve for x
    x = 240,213,350,282.91/464,699.25
  6. Step 6: Final answer
    x = 516,922.18

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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.