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Finding the Fourth Proportional to 510,363.25, 704,301.69 and 295,514.80

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Solution

The fourth proportional to 510,363.25, 704,301.69 and 295,514.80 is: 407,810.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,363.25 : 704,301.69 = 295,514.80 : x
  2. Step 2: Convert to fraction form
    510,363.25/704,301.69 = 295,514.80/x
  3. Step 3: Cross multiply
    510,363.25x = 704,301.69 × 295,514.80
  4. Step 4: Simplify right side
    510,363.25x = 208,131,573,060.01
  5. Step 5: Solve for x
    x = 208,131,573,060.01/510,363.25
  6. Step 6: Final answer
    x = 407,810.66

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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.