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Finding the Fourth Proportional to 508,509.23, 701,696.34 and 301,741.97

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Solution

The fourth proportional to 508,509.23, 701,696.34 and 301,741.97 is: 416,376.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,509.23 : 701,696.34 = 301,741.97 : x
  2. Step 2: Convert to fraction form
    508,509.23/701,696.34 = 301,741.97/x
  3. Step 3: Cross multiply
    508,509.23x = 701,696.34 × 301,741.97
  4. Step 4: Simplify right side
    508,509.23x = 211,731,237,727.63
  5. Step 5: Solve for x
    x = 211,731,237,727.63/508,509.23
  6. Step 6: Final answer
    x = 416,376.39

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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.