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Finding the Fourth Proportional to 564,639.14, 846,211.23 and 414,174.98

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Solution

The fourth proportional to 564,639.14, 846,211.23 and 414,174.98 is: 620,714.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,639.14 : 846,211.23 = 414,174.98 : x
  2. Step 2: Convert to fraction form
    564,639.14/846,211.23 = 414,174.98/x
  3. Step 3: Cross multiply
    564,639.14x = 846,211.23 × 414,174.98
  4. Step 4: Simplify right side
    564,639.14x = 350,479,519,261.03
  5. Step 5: Solve for x
    x = 350,479,519,261.03/564,639.14
  6. Step 6: Final answer
    x = 620,714.18

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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.