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Finding the Fourth Proportional to 407,485.84, 562,302.32 and 226,183.49

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Solution

The fourth proportional to 407,485.84, 562,302.32 and 226,183.49 is: 312,117.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,485.84 : 562,302.32 = 226,183.49 : x
  2. Step 2: Convert to fraction form
    407,485.84/562,302.32 = 226,183.49/x
  3. Step 3: Cross multiply
    407,485.84x = 562,302.32 × 226,183.49
  4. Step 4: Simplify right side
    407,485.84x = 127,183,499,656.97
  5. Step 5: Solve for x
    x = 127,183,499,656.97/407,485.84
  6. Step 6: Final answer
    x = 312,117.59

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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.