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Finding the Fourth Proportional to 557,263.28, 769,016.58 and 302,616.28

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Solution

The fourth proportional to 557,263.28, 769,016.58 and 302,616.28 is: 417,606.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,263.28 : 769,016.58 = 302,616.28 : x
  2. Step 2: Convert to fraction form
    557,263.28/769,016.58 = 302,616.28/x
  3. Step 3: Cross multiply
    557,263.28x = 769,016.58 × 302,616.28
  4. Step 4: Simplify right side
    557,263.28x = 232,716,936,697.92
  5. Step 5: Solve for x
    x = 232,716,936,697.92/557,263.28
  6. Step 6: Final answer
    x = 417,606.80

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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.