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Finding the Fourth Proportional to 478,690.44, 660,565.80 and 263,829.84

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Solution

The fourth proportional to 478,690.44, 660,565.80 and 263,829.84 is: 364,070.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,690.44 : 660,565.80 = 263,829.84 : x
  2. Step 2: Convert to fraction form
    478,690.44/660,565.80 = 263,829.84/x
  3. Step 3: Cross multiply
    478,690.44x = 660,565.80 × 263,829.84
  4. Step 4: Simplify right side
    478,690.44x = 174,276,969,323.47
  5. Step 5: Solve for x
    x = 174,276,969,323.47/478,690.44
  6. Step 6: Final answer
    x = 364,070.29

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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.