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Finding the Fourth Proportional to 509,260.31, 766,937.09 and 463,860.23

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Solution

The fourth proportional to 509,260.31, 766,937.09 and 463,860.23 is: 698,565.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,260.31 : 766,937.09 = 463,860.23 : x
  2. Step 2: Convert to fraction form
    509,260.31/766,937.09 = 463,860.23/x
  3. Step 3: Cross multiply
    509,260.31x = 766,937.09 × 463,860.23
  4. Step 4: Simplify right side
    509,260.31x = 355,751,614,962.93
  5. Step 5: Solve for x
    x = 355,751,614,962.93/509,260.31
  6. Step 6: Final answer
    x = 698,565.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.