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Finding the Fourth Proportional to 407,795.10, 611,780.19 and 158,477.10

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Solution

The fourth proportional to 407,795.10, 611,780.19 and 158,477.10 is: 237,749.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,795.10 : 611,780.19 = 158,477.10 : x
  2. Step 2: Convert to fraction form
    407,795.10/611,780.19 = 158,477.10/x
  3. Step 3: Cross multiply
    407,795.10x = 611,780.19 × 158,477.10
  4. Step 4: Simplify right side
    407,795.10x = 96,953,150,348.65
  5. Step 5: Solve for x
    x = 96,953,150,348.65/407,795.10
  6. Step 6: Final answer
    x = 237,749.67

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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.