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Finding the Fourth Proportional to 584,209, 876,313.50 and 140,977

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Solution

The fourth proportional to 584,209, 876,313.50 and 140,977 is: 211,465.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,209 : 876,313.50 = 140,977 : x
  2. Step 2: Convert to fraction form
    584,209/876,313.50 = 140,977/x
  3. Step 3: Cross multiply
    584,209x = 876,313.50 × 140,977
  4. Step 4: Simplify right side
    584,209x = 123,540,048,289.50
  5. Step 5: Solve for x
    x = 123,540,048,289.50/584,209
  6. Step 6: Final answer
    x = 211,465.50

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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.