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Finding the Fourth Proportional to 471,610.76, 650,907.74 and 278,006.93

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Solution

The fourth proportional to 471,610.76, 650,907.74 and 278,006.93 is: 383,699.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,610.76 : 650,907.74 = 278,006.93 : x
  2. Step 2: Convert to fraction form
    471,610.76/650,907.74 = 278,006.93/x
  3. Step 3: Cross multiply
    471,610.76x = 650,907.74 × 278,006.93
  4. Step 4: Simplify right side
    471,610.76x = 180,956,857,866.07
  5. Step 5: Solve for x
    x = 180,956,857,866.07/471,610.76
  6. Step 6: Final answer
    x = 383,699.60

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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.