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Finding the Fourth Proportional to 477,718.08, 659,234.16 and 262,856.40

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Solution

The fourth proportional to 477,718.08, 659,234.16 and 262,856.40 is: 362,732.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,718.08 : 659,234.16 = 262,856.40 : x
  2. Step 2: Convert to fraction form
    477,718.08/659,234.16 = 262,856.40/x
  3. Step 3: Cross multiply
    477,718.08x = 659,234.16 × 262,856.40
  4. Step 4: Simplify right side
    477,718.08x = 173,283,918,054.62
  5. Step 5: Solve for x
    x = 173,283,918,054.62/477,718.08
  6. Step 6: Final answer
    x = 362,732.59

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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.