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Finding the Fourth Proportional to 319,461.80, 440,998.98 and 206,339.72

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Solution

The fourth proportional to 319,461.80, 440,998.98 and 206,339.72 is: 284,840.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,461.80 : 440,998.98 = 206,339.72 : x
  2. Step 2: Convert to fraction form
    319,461.80/440,998.98 = 206,339.72/x
  3. Step 3: Cross multiply
    319,461.80x = 440,998.98 × 206,339.72
  4. Step 4: Simplify right side
    319,461.80x = 90,995,606,053.49
  5. Step 5: Solve for x
    x = 90,995,606,053.49/319,461.80
  6. Step 6: Final answer
    x = 284,840.33

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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.