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Finding the Fourth Proportional to 509,196.66, 702,111.66 and 325,187.34

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Solution

The fourth proportional to 509,196.66, 702,111.66 and 325,187.34 is: 448,388.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,196.66 : 702,111.66 = 325,187.34 : x
  2. Step 2: Convert to fraction form
    509,196.66/702,111.66 = 325,187.34/x
  3. Step 3: Cross multiply
    509,196.66x = 702,111.66 × 325,187.34
  4. Step 4: Simplify right side
    509,196.66x = 228,317,823,098.38
  5. Step 5: Solve for x
    x = 228,317,823,098.38/509,196.66
  6. Step 6: Final answer
    x = 448,388.30

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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.