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Finding the Fourth Proportional to 338,773.94, 467,501.04 and 209,678.16

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Solution

The fourth proportional to 338,773.94, 467,501.04 and 209,678.16 is: 289,351.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,773.94 : 467,501.04 = 209,678.16 : x
  2. Step 2: Convert to fraction form
    338,773.94/467,501.04 = 209,678.16/x
  3. Step 3: Cross multiply
    338,773.94x = 467,501.04 × 209,678.16
  4. Step 4: Simplify right side
    338,773.94x = 98,024,757,865.29
  5. Step 5: Solve for x
    x = 98,024,757,865.29/338,773.94
  6. Step 6: Final answer
    x = 289,351.53

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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.