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Finding the Fourth Proportional to 478,302, 660,056.76 and 277,214.64

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Solution

The fourth proportional to 478,302, 660,056.76 and 277,214.64 is: 382,556.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,302 : 660,056.76 = 277,214.64 : x
  2. Step 2: Convert to fraction form
    478,302/660,056.76 = 277,214.64/x
  3. Step 3: Cross multiply
    478,302x = 660,056.76 × 277,214.64
  4. Step 4: Simplify right side
    478,302x = 182,977,397,102.97
  5. Step 5: Solve for x
    x = 182,977,397,102.97/478,302
  6. Step 6: Final answer
    x = 382,556.20

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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.