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Finding the Fourth Proportional to 734,145, 1,101,085.80 and 194,404.68

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Solution

The fourth proportional to 734,145, 1,101,085.80 and 194,404.68 is: 291,572.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,145 : 1,101,085.80 = 194,404.68 : x
  2. Step 2: Convert to fraction form
    734,145/1,101,085.80 = 194,404.68/x
  3. Step 3: Cross multiply
    734,145x = 1,101,085.80 × 194,404.68
  4. Step 4: Simplify right side
    734,145x = 214,056,232,601.54
  5. Step 5: Solve for x
    x = 214,056,232,601.54/734,145
  6. Step 6: Final answer
    x = 291,572.15

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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.