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Finding the Fourth Proportional to 407,934.96, 562,967.78 and 226,646.88

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Solution

The fourth proportional to 407,934.96, 562,967.78 and 226,646.88 is: 312,782.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,934.96 : 562,967.78 = 226,646.88 : x
  2. Step 2: Convert to fraction form
    407,934.96/562,967.78 = 226,646.88/x
  3. Step 3: Cross multiply
    407,934.96x = 562,967.78 × 226,646.88
  4. Step 4: Simplify right side
    407,934.96x = 127,594,889,744.29
  5. Step 5: Solve for x
    x = 127,594,889,744.29/407,934.96
  6. Step 6: Final answer
    x = 312,782.43

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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.