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Finding the Fourth Proportional to 407,843.88, 562,914.52 and 226,618.08

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Solution

The fourth proportional to 407,843.88, 562,914.52 and 226,618.08 is: 312,782.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,843.88 : 562,914.52 = 226,618.08 : x
  2. Step 2: Convert to fraction form
    407,843.88/562,914.52 = 226,618.08/x
  3. Step 3: Cross multiply
    407,843.88x = 562,914.52 × 226,618.08
  4. Step 4: Simplify right side
    407,843.88x = 127,566,607,726.52
  5. Step 5: Solve for x
    x = 127,566,607,726.52/407,843.88
  6. Step 6: Final answer
    x = 312,782.94

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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.