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Finding the Fourth Proportional to 508,907.60, 763,361.40 and 309,618.80

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Solution

The fourth proportional to 508,907.60, 763,361.40 and 309,618.80 is: 464,428.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,907.60 : 763,361.40 = 309,618.80 : x
  2. Step 2: Convert to fraction form
    508,907.60/763,361.40 = 309,618.80/x
  3. Step 3: Cross multiply
    508,907.60x = 763,361.40 × 309,618.80
  4. Step 4: Simplify right side
    508,907.60x = 236,351,040,634.32
  5. Step 5: Solve for x
    x = 236,351,040,634.32/508,907.60
  6. Step 6: Final answer
    x = 464,428.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.