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Finding the Fourth Proportional to 340,789.32, 470,369.34 and 211,825.08

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Solution

The fourth proportional to 340,789.32, 470,369.34 and 211,825.08 is: 292,368.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,789.32 : 470,369.34 = 211,825.08 : x
  2. Step 2: Convert to fraction form
    340,789.32/470,369.34 = 211,825.08/x
  3. Step 3: Cross multiply
    340,789.32x = 470,369.34 × 211,825.08
  4. Step 4: Simplify right side
    340,789.32x = 99,636,023,075.05
  5. Step 5: Solve for x
    x = 99,636,023,075.05/340,789.32
  6. Step 6: Final answer
    x = 292,368.38

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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.