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Finding the Fourth Proportional to 557,533.77, 769,399.68 and 342,814.11

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Solution

The fourth proportional to 557,533.77, 769,399.68 and 342,814.11 is: 473,085.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,533.77 : 769,399.68 = 342,814.11 : x
  2. Step 2: Convert to fraction form
    557,533.77/769,399.68 = 342,814.11/x
  3. Step 3: Cross multiply
    557,533.77x = 769,399.68 × 342,814.11
  4. Step 4: Simplify right side
    557,533.77x = 263,761,066,533.49
  5. Step 5: Solve for x
    x = 263,761,066,533.49/557,533.77
  6. Step 6: Final answer
    x = 473,085.36

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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.