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Finding the Fourth Proportional to 407,404.69, 562,321.82 and 278,395.38

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Solution

The fourth proportional to 407,404.69, 562,321.82 and 278,395.38 is: 384,256.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,404.69 : 562,321.82 = 278,395.38 : x
  2. Step 2: Convert to fraction form
    407,404.69/562,321.82 = 278,395.38/x
  3. Step 3: Cross multiply
    407,404.69x = 562,321.82 × 278,395.38
  4. Step 4: Simplify right side
    407,404.69x = 156,547,796,761.19
  5. Step 5: Solve for x
    x = 156,547,796,761.19/407,404.69
  6. Step 6: Final answer
    x = 384,256.25

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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.