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Finding the Fourth Proportional to 338,774.94, 467,502.42 and 209,679.16

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Solution

The fourth proportional to 338,774.94, 467,502.42 and 209,679.16 is: 289,352.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,774.94 : 467,502.42 = 209,679.16 : x
  2. Step 2: Convert to fraction form
    338,774.94/467,502.42 = 209,679.16/x
  3. Step 3: Cross multiply
    338,774.94x = 467,502.42 × 209,679.16
  4. Step 4: Simplify right side
    338,774.94x = 98,025,514,723.57
  5. Step 5: Solve for x
    x = 98,025,514,723.57/338,774.94
  6. Step 6: Final answer
    x = 289,352.91

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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.