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Finding the Fourth Proportional to 345,762, 477,151.56 and 186,786

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Solution

The fourth proportional to 345,762, 477,151.56 and 186,786 is: 257,764.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,762 : 477,151.56 = 186,786 : x
  2. Step 2: Convert to fraction form
    345,762/477,151.56 = 186,786/x
  3. Step 3: Cross multiply
    345,762x = 477,151.56 × 186,786
  4. Step 4: Simplify right side
    345,762x = 89,125,231,286.16
  5. Step 5: Solve for x
    x = 89,125,231,286.16/345,762
  6. Step 6: Final answer
    x = 257,764.68

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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.