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Finding the Fourth Proportional to 563,679.75, 778,286.30 and 362,825.67

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Solution

The fourth proportional to 563,679.75, 778,286.30 and 362,825.67 is: 500,962.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,679.75 : 778,286.30 = 362,825.67 : x
  2. Step 2: Convert to fraction form
    563,679.75/778,286.30 = 362,825.67/x
  3. Step 3: Cross multiply
    563,679.75x = 778,286.30 × 362,825.67
  4. Step 4: Simplify right side
    563,679.75x = 282,382,246,435.19
  5. Step 5: Solve for x
    x = 282,382,246,435.19/563,679.75
  6. Step 6: Final answer
    x = 500,962.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.