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Finding the Fourth Proportional to 341,962.81, 471,894.00 and 188,993.10

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Solution

The fourth proportional to 341,962.81, 471,894.00 and 188,993.10 is: 260,802.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,962.81 : 471,894.00 = 188,993.10 : x
  2. Step 2: Convert to fraction form
    341,962.81/471,894.00 = 188,993.10/x
  3. Step 3: Cross multiply
    341,962.81x = 471,894.00 × 188,993.10
  4. Step 4: Simplify right side
    341,962.81x = 89,184,709,400.96
  5. Step 5: Solve for x
    x = 89,184,709,400.96/341,962.81
  6. Step 6: Final answer
    x = 260,802.36

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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.