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Finding the Fourth Proportional to 510,534.60, 765,802.02 and 229,723.80

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Solution

The fourth proportional to 510,534.60, 765,802.02 and 229,723.80 is: 344,585.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,534.60 : 765,802.02 = 229,723.80 : x
  2. Step 2: Convert to fraction form
    510,534.60/765,802.02 = 229,723.80/x
  3. Step 3: Cross multiply
    510,534.60x = 765,802.02 × 229,723.80
  4. Step 4: Simplify right side
    510,534.60x = 175,922,950,082.08
  5. Step 5: Solve for x
    x = 175,922,950,082.08/510,534.60
  6. Step 6: Final answer
    x = 344,585.75

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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.