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Finding the Fourth Proportional to 510,539.60, 765,809.52 and 229,728.80

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Solution

The fourth proportional to 510,539.60, 765,809.52 and 229,728.80 is: 344,593.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,539.60 : 765,809.52 = 229,728.80 : x
  2. Step 2: Convert to fraction form
    510,539.60/765,809.52 = 229,728.80/x
  3. Step 3: Cross multiply
    510,539.60x = 765,809.52 × 229,728.80
  4. Step 4: Simplify right side
    510,539.60x = 175,928,502,058.18
  5. Step 5: Solve for x
    x = 175,928,502,058.18/510,539.60
  6. Step 6: Final answer
    x = 344,593.25

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