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Finding the Fourth Proportional to 345,673, 477,029.01 and 186,697

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Solution

The fourth proportional to 345,673, 477,029.01 and 186,697 is: 257,642.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,673 : 477,029.01 = 186,697 : x
  2. Step 2: Convert to fraction form
    345,673/477,029.01 = 186,697/x
  3. Step 3: Cross multiply
    345,673x = 477,029.01 × 186,697
  4. Step 4: Simplify right side
    345,673x = 89,059,885,079.97
  5. Step 5: Solve for x
    x = 89,059,885,079.97/345,673
  6. Step 6: Final answer
    x = 257,642.01

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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.