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Finding the Fourth Proportional to 493,484.42, 680,970.48 and 278,645.69

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Solution

The fourth proportional to 493,484.42, 680,970.48 and 278,645.69 is: 384,509.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,484.42 : 680,970.48 = 278,645.69 : x
  2. Step 2: Convert to fraction form
    493,484.42/680,970.48 = 278,645.69/x
  3. Step 3: Cross multiply
    493,484.42x = 680,970.48 × 278,645.69
  4. Step 4: Simplify right side
    493,484.42x = 189,749,485,864.38
  5. Step 5: Solve for x
    x = 189,749,485,864.38/493,484.42
  6. Step 6: Final answer
    x = 384,509.58

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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.