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Finding the Fourth Proportional to 407,395.69, 562,199.01 and 226,115.26

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Solution

The fourth proportional to 407,395.69, 562,199.01 and 226,115.26 is: 312,035.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,395.69 : 562,199.01 = 226,115.26 : x
  2. Step 2: Convert to fraction form
    407,395.69/562,199.01 = 226,115.26/x
  3. Step 3: Cross multiply
    407,395.69x = 562,199.01 × 226,115.26
  4. Step 4: Simplify right side
    407,395.69x = 127,121,775,317.89
  5. Step 5: Solve for x
    x = 127,121,775,317.89/407,395.69
  6. Step 6: Final answer
    x = 312,035.15

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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.