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Finding the Fourth Proportional to 407,685.26, 562,872.12 and 264,852.38

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Solution

The fourth proportional to 407,685.26, 562,872.12 and 264,852.38 is: 365,669.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,685.26 : 562,872.12 = 264,852.38 : x
  2. Step 2: Convert to fraction form
    407,685.26/562,872.12 = 264,852.38/x
  3. Step 3: Cross multiply
    407,685.26x = 562,872.12 × 264,852.38
  4. Step 4: Simplify right side
    407,685.26x = 149,078,020,617.65
  5. Step 5: Solve for x
    x = 149,078,020,617.65/407,685.26
  6. Step 6: Final answer
    x = 365,669.39

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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.