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Finding the Fourth Proportional to 786,506, 1,179,763.32 and 195,530

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Solution

The fourth proportional to 786,506, 1,179,763.32 and 195,530 is: 293,296.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    786,506 : 1,179,763.32 = 195,530 : x
  2. Step 2: Convert to fraction form
    786,506/1,179,763.32 = 195,530/x
  3. Step 3: Cross multiply
    786,506x = 1,179,763.32 × 195,530
  4. Step 4: Simplify right side
    786,506x = 230,679,121,959.60
  5. Step 5: Solve for x
    x = 230,679,121,959.60/786,506
  6. Step 6: Final answer
    x = 293,296.07

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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.