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Finding the Fourth Proportional to 765,996.75, 1,057,108.32 and 426,465

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Solution

The fourth proportional to 765,996.75, 1,057,108.32 and 426,465 is: 588,539.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    765,996.75 : 1,057,108.32 = 426,465 : x
  2. Step 2: Convert to fraction form
    765,996.75/1,057,108.32 = 426,465/x
  3. Step 3: Cross multiply
    765,996.75x = 1,057,108.32 × 426,465
  4. Step 4: Simplify right side
    765,996.75x = 450,819,699,688.80
  5. Step 5: Solve for x
    x = 450,819,699,688.80/765,996.75
  6. Step 6: Final answer
    x = 588,539.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.