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Finding the Fourth Proportional to 509,257.92, 766,933.55 and 463,857.86

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Solution

The fourth proportional to 509,257.92, 766,933.55 and 463,857.86 is: 698,561.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,257.92 : 766,933.55 = 463,857.86 : x
  2. Step 2: Convert to fraction form
    509,257.92/766,933.55 = 463,857.86/x
  3. Step 3: Cross multiply
    509,257.92x = 766,933.55 × 463,857.86
  4. Step 4: Simplify right side
    509,257.92x = 355,748,149,111.25
  5. Step 5: Solve for x
    x = 355,748,149,111.25/509,257.92
  6. Step 6: Final answer
    x = 698,561.84

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