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Finding the Fourth Proportional to 478,638.47, 660,521.10 and 263,778.54

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Solution

The fourth proportional to 478,638.47, 660,521.10 and 263,778.54 is: 364,014.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,638.47 : 660,521.10 = 263,778.54 : x
  2. Step 2: Convert to fraction form
    478,638.47/660,521.10 = 263,778.54/x
  3. Step 3: Cross multiply
    478,638.47x = 660,521.10 × 263,778.54
  4. Step 4: Simplify right side
    478,638.47x = 174,231,291,397.19
  5. Step 5: Solve for x
    x = 174,231,291,397.19/478,638.47
  6. Step 6: Final answer
    x = 364,014.39

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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.