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Finding the Fourth Proportional to 409,783.69, 565,858.37 and 257,084.38

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Solution

The fourth proportional to 409,783.69, 565,858.37 and 257,084.38 is: 355,000.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,783.69 : 565,858.37 = 257,084.38 : x
  2. Step 2: Convert to fraction form
    409,783.69/565,858.37 = 257,084.38/x
  3. Step 3: Cross multiply
    409,783.69x = 565,858.37 × 257,084.38
  4. Step 4: Simplify right side
    409,783.69x = 145,473,345,389.97
  5. Step 5: Solve for x
    x = 145,473,345,389.97/409,783.69
  6. Step 6: Final answer
    x = 355,000.33

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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.