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Finding the Fourth Proportional to 455,051, 682,045.02 and 342,369.20

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Solution

The fourth proportional to 455,051, 682,045.02 and 342,369.20 is: 513,153.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,051 : 682,045.02 = 342,369.20 : x
  2. Step 2: Convert to fraction form
    455,051/682,045.02 = 342,369.20/x
  3. Step 3: Cross multiply
    455,051x = 682,045.02 × 342,369.20
  4. Step 4: Simplify right side
    455,051x = 233,511,207,861.38
  5. Step 5: Solve for x
    x = 233,511,207,861.38/455,051
  6. Step 6: Final answer
    x = 513,153.93

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