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Finding the Fourth Proportional to 301,514.78, 416,285.10 and 186,915.89

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Solution

The fourth proportional to 301,514.78, 416,285.10 and 186,915.89 is: 258,064.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,514.78 : 416,285.10 = 186,915.89 : x
  2. Step 2: Convert to fraction form
    301,514.78/416,285.10 = 186,915.89/x
  3. Step 3: Cross multiply
    301,514.78x = 416,285.10 × 186,915.89
  4. Step 4: Simplify right side
    301,514.78x = 77,810,297,878.81
  5. Step 5: Solve for x
    x = 77,810,297,878.81/301,514.78
  6. Step 6: Final answer
    x = 258,064.63

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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.