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Finding the Fourth Proportional to 510,909.40, 766,364.10 and 510,909.40

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Solution

The fourth proportional to 510,909.40, 766,364.10 and 510,909.40 is: 766,364.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,909.40 : 766,364.10 = 510,909.40 : x
  2. Step 2: Convert to fraction form
    510,909.40/766,364.10 = 510,909.40/x
  3. Step 3: Cross multiply
    510,909.40x = 766,364.10 × 510,909.40
  4. Step 4: Simplify right side
    510,909.40x = 391,542,622,512.54
  5. Step 5: Solve for x
    x = 391,542,622,512.54/510,909.40
  6. Step 6: Final answer
    x = 766,364.10

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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.