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Finding the Fourth Proportional to 509,254.42, 766,928.26 and 463,854.36

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Solution

The fourth proportional to 509,254.42, 766,928.26 and 463,854.36 is: 698,556.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,254.42 : 766,928.26 = 463,854.36 : x
  2. Step 2: Convert to fraction form
    509,254.42/766,928.26 = 463,854.36/x
  3. Step 3: Cross multiply
    509,254.42x = 766,928.26 × 463,854.36
  4. Step 4: Simplify right side
    509,254.42x = 355,743,017,208.21
  5. Step 5: Solve for x
    x = 355,743,017,208.21/509,254.42
  6. Step 6: Final answer
    x = 698,556.56

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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.