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Finding the Fourth Proportional to 397,595.46, 596,510.74 and 229,236.56

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Solution

The fourth proportional to 397,595.46, 596,510.74 and 229,236.56 is: 343,922.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,595.46 : 596,510.74 = 229,236.56 : x
  2. Step 2: Convert to fraction form
    397,595.46/596,510.74 = 229,236.56/x
  3. Step 3: Cross multiply
    397,595.46x = 596,510.74 × 229,236.56
  4. Step 4: Simplify right side
    397,595.46x = 136,742,070,040.65
  5. Step 5: Solve for x
    x = 136,742,070,040.65/397,595.46
  6. Step 6: Final answer
    x = 343,922.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.