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Finding the Fourth Proportional to 385,468.98, 531,942.58 and 215,704.50

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Solution

The fourth proportional to 385,468.98, 531,942.58 and 215,704.50 is: 297,669.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,468.98 : 531,942.58 = 215,704.50 : x
  2. Step 2: Convert to fraction form
    385,468.98/531,942.58 = 215,704.50/x
  3. Step 3: Cross multiply
    385,468.98x = 531,942.58 × 215,704.50
  4. Step 4: Simplify right side
    385,468.98x = 114,742,404,509.38
  5. Step 5: Solve for x
    x = 114,742,404,509.38/385,468.98
  6. Step 6: Final answer
    x = 297,669.62

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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.