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Finding the Fourth Proportional to 463,877.74, 640,153.74 and 259,929.10

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Solution

The fourth proportional to 463,877.74, 640,153.74 and 259,929.10 is: 358,703.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,877.74 : 640,153.74 = 259,929.10 : x
  2. Step 2: Convert to fraction form
    463,877.74/640,153.74 = 259,929.10/x
  3. Step 3: Cross multiply
    463,877.74x = 640,153.74 × 259,929.10
  4. Step 4: Simplify right side
    463,877.74x = 166,394,585,499.83
  5. Step 5: Solve for x
    x = 166,394,585,499.83/463,877.74
  6. Step 6: Final answer
    x = 358,703.54

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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.