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Finding the Fourth Proportional to 490,349, 735,523.54 and 157,925

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Solution

The fourth proportional to 490,349, 735,523.54 and 157,925 is: 236,887.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,349 : 735,523.54 = 157,925 : x
  2. Step 2: Convert to fraction form
    490,349/735,523.54 = 157,925/x
  3. Step 3: Cross multiply
    490,349x = 735,523.54 × 157,925
  4. Step 4: Simplify right side
    490,349x = 116,157,555,054.50
  5. Step 5: Solve for x
    x = 116,157,555,054.50/490,349
  6. Step 6: Final answer
    x = 236,887.51

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1.5x scale

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.