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Finding the Fourth Proportional to 536,809, 740,805.78 and 295,101.76

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Solution

The fourth proportional to 536,809, 740,805.78 and 295,101.76 is: 407,245.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,809 : 740,805.78 = 295,101.76 : x
  2. Step 2: Convert to fraction form
    536,809/740,805.78 = 295,101.76/x
  3. Step 3: Cross multiply
    536,809x = 740,805.78 × 295,101.76
  4. Step 4: Simplify right side
    536,809x = 218,613,089,496.17
  5. Step 5: Solve for x
    x = 218,613,089,496.17/536,809
  6. Step 6: Final answer
    x = 407,245.57

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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.