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Finding the Fourth Proportional to 477,180.63, 714,213.18 and 350,787.42

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Solution

The fourth proportional to 477,180.63, 714,213.18 and 350,787.42 is: 525,035.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,180.63 : 714,213.18 = 350,787.42 : x
  2. Step 2: Convert to fraction form
    477,180.63/714,213.18 = 350,787.42/x
  3. Step 3: Cross multiply
    477,180.63x = 714,213.18 × 350,787.42
  4. Step 4: Simplify right side
    477,180.63x = 250,536,998,742.20
  5. Step 5: Solve for x
    x = 250,536,998,742.20/477,180.63
  6. Step 6: Final answer
    x = 525,035.98

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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.