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Finding the Fourth Proportional to 297,514.95, 446,286.77 and 97,830.91

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Solution

The fourth proportional to 297,514.95, 446,286.77 and 97,830.91 is: 146,751.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,514.95 : 446,286.77 = 97,830.91 : x
  2. Step 2: Convert to fraction form
    297,514.95/446,286.77 = 97,830.91/x
  3. Step 3: Cross multiply
    297,514.95x = 446,286.77 × 97,830.91
  4. Step 4: Simplify right side
    297,514.95x = 43,660,640,830.06
  5. Step 5: Solve for x
    x = 43,660,640,830.06/297,514.95
  6. Step 6: Final answer
    x = 146,751.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.