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Finding the Fourth Proportional to 786,509, 1,179,767.90 and 195,533

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Solution

The fourth proportional to 786,509, 1,179,767.90 and 195,533 is: 293,300.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    786,509 : 1,179,767.90 = 195,533 : x
  2. Step 2: Convert to fraction form
    786,509/1,179,767.90 = 195,533/x
  3. Step 3: Cross multiply
    786,509x = 1,179,767.90 × 195,533
  4. Step 4: Simplify right side
    786,509x = 230,683,556,790.70
  5. Step 5: Solve for x
    x = 230,683,556,790.70/786,509
  6. Step 6: Final answer
    x = 293,300.59

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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.