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Finding the Fourth Proportional to 786,049, 1,179,322.72 and 280,599.14

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Solution

The fourth proportional to 786,049, 1,179,322.72 and 280,599.14 is: 420,987.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    786,049 : 1,179,322.72 = 280,599.14 : x
  2. Step 2: Convert to fraction form
    786,049/1,179,322.72 = 280,599.14/x
  3. Step 3: Cross multiply
    786,049x = 1,179,322.72 × 280,599.14
  4. Step 4: Simplify right side
    786,049x = 330,916,941,014.46
  5. Step 5: Solve for x
    x = 330,916,941,014.46/786,049
  6. Step 6: Final answer
    x = 420,987.68

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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.