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Finding the Fourth Proportional to 478,851.16, 660,802.44 and 263,986.24

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Solution

The fourth proportional to 478,851.16, 660,802.44 and 263,986.24 is: 364,294.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,851.16 : 660,802.44 = 263,986.24 : x
  2. Step 2: Convert to fraction form
    478,851.16/660,802.44 = 263,986.24/x
  3. Step 3: Cross multiply
    478,851.16x = 660,802.44 × 263,986.24
  4. Step 4: Simplify right side
    478,851.16x = 174,442,751,518.43
  5. Step 5: Solve for x
    x = 174,442,751,518.43/478,851.16
  6. Step 6: Final answer
    x = 364,294.31

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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.