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Finding the Fourth Proportional to 509,260.19, 766,936.91 and 463,860.11

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Solution

The fourth proportional to 509,260.19, 766,936.91 and 463,860.11 is: 698,565.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,260.19 : 766,936.91 = 463,860.11 : x
  2. Step 2: Convert to fraction form
    509,260.19/766,936.91 = 463,860.11/x
  3. Step 3: Cross multiply
    509,260.19x = 766,936.91 × 463,860.11
  4. Step 4: Simplify right side
    509,260.19x = 355,751,433,281.68
  5. Step 5: Solve for x
    x = 355,751,433,281.68/509,260.19
  6. Step 6: Final answer
    x = 698,565.18

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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.