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Finding the Fourth Proportional to 477,680.64, 714,946.08 and 264,120.24

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Solution

The fourth proportional to 477,680.64, 714,946.08 and 264,120.24 is: 395,309.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,680.64 : 714,946.08 = 264,120.24 : x
  2. Step 2: Convert to fraction form
    477,680.64/714,946.08 = 264,120.24/x
  3. Step 3: Cross multiply
    477,680.64x = 714,946.08 × 264,120.24
  4. Step 4: Simplify right side
    477,680.64x = 188,831,730,236.66
  5. Step 5: Solve for x
    x = 188,831,730,236.66/477,680.64
  6. Step 6: Final answer
    x = 395,309.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.