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Finding the Fourth Proportional to 341,221, 470,884.98 and 190,318

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Solution

The fourth proportional to 341,221, 470,884.98 and 190,318 is: 262,638.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,221 : 470,884.98 = 190,318 : x
  2. Step 2: Convert to fraction form
    341,221/470,884.98 = 190,318/x
  3. Step 3: Cross multiply
    341,221x = 470,884.98 × 190,318
  4. Step 4: Simplify right side
    341,221x = 89,617,887,623.64
  5. Step 5: Solve for x
    x = 89,617,887,623.64/341,221
  6. Step 6: Final answer
    x = 262,638.84

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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.