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Finding the Fourth Proportional to 477,901.85, 659,499.32 and 263,037.31

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Solution

The fourth proportional to 477,901.85, 659,499.32 and 263,037.31 is: 362,988.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,901.85 : 659,499.32 = 263,037.31 : x
  2. Step 2: Convert to fraction form
    477,901.85/659,499.32 = 263,037.31/x
  3. Step 3: Cross multiply
    477,901.85x = 659,499.32 × 263,037.31
  4. Step 4: Simplify right side
    477,901.85x = 173,472,926,088.47
  5. Step 5: Solve for x
    x = 173,472,926,088.47/477,901.85
  6. Step 6: Final answer
    x = 362,988.61

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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.