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Finding the Fourth Proportional to 490,351, 735,526.54 and 157,927

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Solution

The fourth proportional to 490,351, 735,526.54 and 157,927 is: 236,890.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,351 : 735,526.54 = 157,927 : x
  2. Step 2: Convert to fraction form
    490,351/735,526.54 = 157,927/x
  3. Step 3: Cross multiply
    490,351x = 735,526.54 × 157,927
  4. Step 4: Simplify right side
    490,351x = 116,159,499,882.58
  5. Step 5: Solve for x
    x = 116,159,499,882.58/490,351
  6. Step 6: Final answer
    x = 236,890.51

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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.