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Finding the Fourth Proportional to 594,413, 820,289.86 and 339,769.66

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Solution

The fourth proportional to 594,413, 820,289.86 and 339,769.66 is: 468,882.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,413 : 820,289.86 = 339,769.66 : x
  2. Step 2: Convert to fraction form
    594,413/820,289.86 = 339,769.66/x
  3. Step 3: Cross multiply
    594,413x = 820,289.86 × 339,769.66
  4. Step 4: Simplify right side
    594,413x = 278,709,606,833.65
  5. Step 5: Solve for x
    x = 278,709,606,833.65/594,413
  6. Step 6: Final answer
    x = 468,882.09

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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.