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Finding the Fourth Proportional to 408,940.65, 564,018.39 and 265,746.69

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Solution

The fourth proportional to 408,940.65, 564,018.39 and 265,746.69 is: 366,522.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,940.65 : 564,018.39 = 265,746.69 : x
  2. Step 2: Convert to fraction form
    408,940.65/564,018.39 = 265,746.69/x
  3. Step 3: Cross multiply
    408,940.65x = 564,018.39 × 265,746.69
  4. Step 4: Simplify right side
    408,940.65x = 149,886,020,241.63
  5. Step 5: Solve for x
    x = 149,886,020,241.63/408,940.65
  6. Step 6: Final answer
    x = 366,522.67

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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.