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Finding the Fourth Proportional to 477,902.61, 659,500.38 and 263,038.05

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Solution

The fourth proportional to 477,902.61, 659,500.38 and 263,038.05 is: 362,989.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,902.61 : 659,500.38 = 263,038.05 : x
  2. Step 2: Convert to fraction form
    477,902.61/659,500.38 = 263,038.05/x
  3. Step 3: Cross multiply
    477,902.61x = 659,500.38 × 263,038.05
  4. Step 4: Simplify right side
    477,902.61x = 173,473,693,929.46
  5. Step 5: Solve for x
    x = 173,473,693,929.46/477,902.61
  6. Step 6: Final answer
    x = 362,989.63

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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.