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Finding the Fourth Proportional to 313,571.16, 432,460.08 and 211,579.20

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Solution

The fourth proportional to 313,571.16, 432,460.08 and 211,579.20 is: 291,798.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,571.16 : 432,460.08 = 211,579.20 : x
  2. Step 2: Convert to fraction form
    313,571.16/432,460.08 = 211,579.20/x
  3. Step 3: Cross multiply
    313,571.16x = 432,460.08 × 211,579.20
  4. Step 4: Simplify right side
    313,571.16x = 91,499,557,758.34
  5. Step 5: Solve for x
    x = 91,499,557,758.34/313,571.16
  6. Step 6: Final answer
    x = 291,798.38

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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.