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Finding the Fourth Proportional to 407,770.55, 562,707.71 and 226,494.05

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Solution

The fourth proportional to 407,770.55, 562,707.71 and 226,494.05 is: 312,553.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,770.55 : 562,707.71 = 226,494.05 : x
  2. Step 2: Convert to fraction form
    407,770.55/562,707.71 = 226,494.05/x
  3. Step 3: Cross multiply
    407,770.55x = 562,707.71 × 226,494.05
  4. Step 4: Simplify right side
    407,770.55x = 127,449,948,204.13
  5. Step 5: Solve for x
    x = 127,449,948,204.13/407,770.55
  6. Step 6: Final answer
    x = 312,553.10

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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.