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Finding the Fourth Proportional to 364,516.70, 509,142.40 and 364,516.70

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Solution

The fourth proportional to 364,516.70, 509,142.40 and 364,516.70 is: 509,142.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,516.70 : 509,142.40 = 364,516.70 : x
  2. Step 2: Convert to fraction form
    364,516.70/509,142.40 = 364,516.70/x
  3. Step 3: Cross multiply
    364,516.70x = 509,142.40 × 364,516.70
  4. Step 4: Simplify right side
    364,516.70x = 185,590,907,478.08
  5. Step 5: Solve for x
    x = 185,590,907,478.08/364,516.70
  6. Step 6: Final answer
    x = 509,142.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.