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Finding the Fourth Proportional to 556,883.56, 768,499.16 and 302,234.74

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Solution

The fourth proportional to 556,883.56, 768,499.16 and 302,234.74 is: 417,083.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,883.56 : 768,499.16 = 302,234.74 : x
  2. Step 2: Convert to fraction form
    556,883.56/768,499.16 = 302,234.74/x
  3. Step 3: Cross multiply
    556,883.56x = 768,499.16 × 302,234.74
  4. Step 4: Simplify right side
    556,883.56x = 232,267,145,128.22
  5. Step 5: Solve for x
    x = 232,267,145,128.22/556,883.56
  6. Step 6: Final answer
    x = 417,083.86

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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.