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Finding the Fourth Proportional to 509,259.80, 766,936.34 and 463,859.73

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Solution

The fourth proportional to 509,259.80, 766,936.34 and 463,859.73 is: 698,564.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,259.80 : 766,936.34 = 463,859.73 : x
  2. Step 2: Convert to fraction form
    509,259.80/766,936.34 = 463,859.73/x
  3. Step 3: Cross multiply
    509,259.80x = 766,936.34 × 463,859.73
  4. Step 4: Simplify right side
    509,259.80x = 355,750,881,280.29
  5. Step 5: Solve for x
    x = 355,750,881,280.29/509,259.80
  6. Step 6: Final answer
    x = 698,564.62

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1.5x scale

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.