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Finding the Fourth Proportional to 493,323.16, 680,788.14 and 266,968.72

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Solution

The fourth proportional to 493,323.16, 680,788.14 and 266,968.72 is: 368,418.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,323.16 : 680,788.14 = 266,968.72 : x
  2. Step 2: Convert to fraction form
    493,323.16/680,788.14 = 266,968.72/x
  3. Step 3: Cross multiply
    493,323.16x = 680,788.14 × 266,968.72
  4. Step 4: Simplify right side
    493,323.16x = 181,749,138,326.98
  5. Step 5: Solve for x
    x = 181,749,138,326.98/493,323.16
  6. Step 6: Final answer
    x = 368,418.01

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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.