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Finding the Fourth Proportional to 560,314.65, 773,233.23 and 305,665.83

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Solution

The fourth proportional to 560,314.65, 773,233.23 and 305,665.83 is: 421,818.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,314.65 : 773,233.23 = 305,665.83 : x
  2. Step 2: Convert to fraction form
    560,314.65/773,233.23 = 305,665.83/x
  3. Step 3: Cross multiply
    560,314.65x = 773,233.23 × 305,665.83
  4. Step 4: Simplify right side
    560,314.65x = 236,350,977,031.53
  5. Step 5: Solve for x
    x = 236,350,977,031.53/560,314.65
  6. Step 6: Final answer
    x = 421,818.31

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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.