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Finding the Fourth Proportional to 510,370.16, 704,265 and 295,524.80

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Solution

The fourth proportional to 510,370.16, 704,265 and 295,524.80 is: 407,797.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,370.16 : 704,265 = 295,524.80 : x
  2. Step 2: Convert to fraction form
    510,370.16/704,265 = 295,524.80/x
  3. Step 3: Cross multiply
    510,370.16x = 704,265 × 295,524.80
  4. Step 4: Simplify right side
    510,370.16x = 208,127,773,272
  5. Step 5: Solve for x
    x = 208,127,773,272/510,370.16
  6. Step 6: Final answer
    x = 407,797.69

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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.