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Finding the Fourth Proportional to 589,099.38, 812,816.01 and 347,362.98

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Solution

The fourth proportional to 589,099.38, 812,816.01 and 347,362.98 is: 479,277.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,099.38 : 812,816.01 = 347,362.98 : x
  2. Step 2: Convert to fraction form
    589,099.38/812,816.01 = 347,362.98/x
  3. Step 3: Cross multiply
    589,099.38x = 812,816.01 × 347,362.98
  4. Step 4: Simplify right side
    589,099.38x = 282,342,191,425.31
  5. Step 5: Solve for x
    x = 282,342,191,425.31/589,099.38
  6. Step 6: Final answer
    x = 479,277.69

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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.