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Finding the Fourth Proportional to 561,218.23, 774,498.14 and 306,585.82

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Solution

The fourth proportional to 561,218.23, 774,498.14 and 306,585.82 is: 423,097.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,218.23 : 774,498.14 = 306,585.82 : x
  2. Step 2: Convert to fraction form
    561,218.23/774,498.14 = 306,585.82/x
  3. Step 3: Cross multiply
    561,218.23x = 774,498.14 × 306,585.82
  4. Step 4: Simplify right side
    561,218.23x = 237,450,147,340.38
  5. Step 5: Solve for x
    x = 237,450,147,340.38/561,218.23
  6. Step 6: Final answer
    x = 423,097.71

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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.