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Finding the Fourth Proportional to 464,495.85, 696,573.68 and 364,850.06

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Solution

The fourth proportional to 464,495.85, 696,573.68 and 364,850.06 is: 547,141.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,495.85 : 696,573.68 = 364,850.06 : x
  2. Step 2: Convert to fraction form
    464,495.85/696,573.68 = 364,850.06/x
  3. Step 3: Cross multiply
    464,495.85x = 696,573.68 × 364,850.06
  4. Step 4: Simplify right side
    464,495.85x = 254,144,943,635.30
  5. Step 5: Solve for x
    x = 254,144,943,635.30/464,495.85
  6. Step 6: Final answer
    x = 547,141.47

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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.