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Finding the Fourth Proportional to 557,666, 769,582.68 and 303,017.12

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Solution

The fourth proportional to 557,666, 769,582.68 and 303,017.12 is: 418,165.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,666 : 769,582.68 = 303,017.12 : x
  2. Step 2: Convert to fraction form
    557,666/769,582.68 = 303,017.12/x
  3. Step 3: Cross multiply
    557,666x = 769,582.68 × 303,017.12
  4. Step 4: Simplify right side
    557,666x = 233,196,727,295.48
  5. Step 5: Solve for x
    x = 233,196,727,295.48/557,666
  6. Step 6: Final answer
    x = 418,165.58

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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.