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Finding the Fourth Proportional to 556,892.16, 768,511.74 and 302,243.46

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Solution

The fourth proportional to 556,892.16, 768,511.74 and 302,243.46 is: 417,096.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,892.16 : 768,511.74 = 302,243.46 : x
  2. Step 2: Convert to fraction form
    556,892.16/768,511.74 = 302,243.46/x
  3. Step 3: Cross multiply
    556,892.16x = 768,511.74 × 302,243.46
  4. Step 4: Simplify right side
    556,892.16x = 232,277,647,348.22
  5. Step 5: Solve for x
    x = 232,277,647,348.22/556,892.16
  6. Step 6: Final answer
    x = 417,096.28

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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.