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Finding the Fourth Proportional to 509,260.56, 766,937.47 and 463,860.48

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Solution

The fourth proportional to 509,260.56, 766,937.47 and 463,860.48 is: 698,565.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,260.56 : 766,937.47 = 463,860.48 : x
  2. Step 2: Convert to fraction form
    509,260.56/766,937.47 = 463,860.48/x
  3. Step 3: Cross multiply
    509,260.56x = 766,937.47 × 463,860.48
  4. Step 4: Simplify right side
    509,260.56x = 355,751,982,964.19
  5. Step 5: Solve for x
    x = 355,751,982,964.19/509,260.56
  6. Step 6: Final answer
    x = 698,565.75

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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.