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Finding the Fourth Proportional to 477,701.32, 659,243.70 and 262,857.16

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Solution

The fourth proportional to 477,701.32, 659,243.70 and 262,857.16 is: 362,751.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,701.32 : 659,243.70 = 262,857.16 : x
  2. Step 2: Convert to fraction form
    477,701.32/659,243.70 = 262,857.16/x
  3. Step 3: Cross multiply
    477,701.32x = 659,243.70 × 262,857.16
  4. Step 4: Simplify right side
    477,701.32x = 173,286,926,729.89
  5. Step 5: Solve for x
    x = 173,286,926,729.89/477,701.32
  6. Step 6: Final answer
    x = 362,751.62

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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.