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Finding the Fourth Proportional to 407,904.23, 611,793.16 and 208,372.07

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Solution

The fourth proportional to 407,904.23, 611,793.16 and 208,372.07 is: 312,525.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,904.23 : 611,793.16 = 208,372.07 : x
  2. Step 2: Convert to fraction form
    407,904.23/611,793.16 = 208,372.07/x
  3. Step 3: Cross multiply
    407,904.23x = 611,793.16 × 208,372.07
  4. Step 4: Simplify right side
    407,904.23x = 127,480,607,161.04
  5. Step 5: Solve for x
    x = 127,480,607,161.04/407,904.23
  6. Step 6: Final answer
    x = 312,525.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.