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Finding the Fourth Proportional to 557,322.84, 769,424.33 and 366,889.82

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Solution

The fourth proportional to 557,322.84, 769,424.33 and 366,889.82 is: 506,517.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,322.84 : 769,424.33 = 366,889.82 : x
  2. Step 2: Convert to fraction form
    557,322.84/769,424.33 = 366,889.82/x
  3. Step 3: Cross multiply
    557,322.84x = 769,424.33 × 366,889.82
  4. Step 4: Simplify right side
    557,322.84x = 282,293,951,007.42
  5. Step 5: Solve for x
    x = 282,293,951,007.42/557,322.84
  6. Step 6: Final answer
    x = 506,517.82

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1.5x scale

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.