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Finding the Fourth Proportional to 919,854, 1,269,417.96 and 517,446

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Solution

The fourth proportional to 919,854, 1,269,417.96 and 517,446 is: 714,086.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    919,854 : 1,269,417.96 = 517,446 : x
  2. Step 2: Convert to fraction form
    919,854/1,269,417.96 = 517,446/x
  3. Step 3: Cross multiply
    919,854x = 1,269,417.96 × 517,446
  4. Step 4: Simplify right side
    919,854x = 656,855,245,730.16
  5. Step 5: Solve for x
    x = 656,855,245,730.16/919,854
  6. Step 6: Final answer
    x = 714,086.42

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Why These Related Problems?

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