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Finding the Fourth Proportional to 477,585.34, 659,046.98 and 262,711.78

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Solution

The fourth proportional to 477,585.34, 659,046.98 and 262,711.78 is: 362,530.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,585.34 : 659,046.98 = 262,711.78 : x
  2. Step 2: Convert to fraction form
    477,585.34/659,046.98 = 262,711.78/x
  3. Step 3: Cross multiply
    477,585.34x = 659,046.98 × 262,711.78
  4. Step 4: Simplify right side
    477,585.34x = 173,139,405,219.42
  5. Step 5: Solve for x
    x = 173,139,405,219.42/477,585.34
  6. Step 6: Final answer
    x = 362,530.82

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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.