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Finding the Fourth Proportional to 510,309.55, 765,035.27 and 341,314.08

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Solution

The fourth proportional to 510,309.55, 765,035.27 and 341,314.08 is: 511,684.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,309.55 : 765,035.27 = 341,314.08 : x
  2. Step 2: Convert to fraction form
    510,309.55/765,035.27 = 341,314.08/x
  3. Step 3: Cross multiply
    510,309.55x = 765,035.27 × 341,314.08
  4. Step 4: Simplify right side
    510,309.55x = 261,117,307,641.03
  5. Step 5: Solve for x
    x = 261,117,307,641.03/510,309.55
  6. Step 6: Final answer
    x = 511,684.15

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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.