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Finding the Fourth Proportional to 346,322.62, 477,920.57 and 193,363.16

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Solution

The fourth proportional to 346,322.62, 477,920.57 and 193,363.16 is: 266,838.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,322.62 : 477,920.57 = 193,363.16 : x
  2. Step 2: Convert to fraction form
    346,322.62/477,920.57 = 193,363.16/x
  3. Step 3: Cross multiply
    346,322.62x = 477,920.57 × 193,363.16
  4. Step 4: Simplify right side
    346,322.62x = 92,412,231,644.20
  5. Step 5: Solve for x
    x = 92,412,231,644.20/346,322.62
  6. Step 6: Final answer
    x = 266,838.57

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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.