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Finding the Fourth Proportional to 407,804.86, 562,763.19 and 226,509.58

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Solution

The fourth proportional to 407,804.86, 562,763.19 and 226,509.58 is: 312,579.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,804.86 : 562,763.19 = 226,509.58 : x
  2. Step 2: Convert to fraction form
    407,804.86/562,763.19 = 226,509.58/x
  3. Step 3: Cross multiply
    407,804.86x = 562,763.19 × 226,509.58
  4. Step 4: Simplify right side
    407,804.86x = 127,471,253,806.36
  5. Step 5: Solve for x
    x = 127,471,253,806.36/407,804.86
  6. Step 6: Final answer
    x = 312,579.05

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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.