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Finding the Fourth Proportional to 477,830.88, 659,392.65 and 262,970.82

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Solution

The fourth proportional to 477,830.88, 659,392.65 and 262,970.82 is: 362,892.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,830.88 : 659,392.65 = 262,970.82 : x
  2. Step 2: Convert to fraction form
    477,830.88/659,392.65 = 262,970.82/x
  3. Step 3: Cross multiply
    477,830.88x = 659,392.65 × 262,970.82
  4. Step 4: Simplify right side
    477,830.88x = 173,401,025,872.47
  5. Step 5: Solve for x
    x = 173,401,025,872.47/477,830.88
  6. Step 6: Final answer
    x = 362,892.05

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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.