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Finding the Fourth Proportional to 511,010.85, 705,038.85 and 296,109.39

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Solution

The fourth proportional to 511,010.85, 705,038.85 and 296,109.39 is: 408,540.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,010.85 : 705,038.85 = 296,109.39 : x
  2. Step 2: Convert to fraction form
    511,010.85/705,038.85 = 296,109.39/x
  3. Step 3: Cross multiply
    511,010.85x = 705,038.85 × 296,109.39
  4. Step 4: Simplify right side
    511,010.85x = 208,768,623,799.80
  5. Step 5: Solve for x
    x = 208,768,623,799.80/511,010.85
  6. Step 6: Final answer
    x = 408,540.49

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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.