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Finding the Fourth Proportional to 470,495.76, 705,750.84 and 259,675.44

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Solution

The fourth proportional to 470,495.76, 705,750.84 and 259,675.44 is: 389,517.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,495.76 : 705,750.84 = 259,675.44 : x
  2. Step 2: Convert to fraction form
    470,495.76/705,750.84 = 259,675.44/x
  3. Step 3: Cross multiply
    470,495.76x = 705,750.84 × 259,675.44
  4. Step 4: Simplify right side
    470,495.76x = 183,266,159,907.37
  5. Step 5: Solve for x
    x = 183,266,159,907.37/470,495.76
  6. Step 6: Final answer
    x = 389,517.13

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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.