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Finding the Fourth Proportional to 477,774.65, 659,312.49 and 262,894.61

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Solution

The fourth proportional to 477,774.65, 659,312.49 and 262,894.61 is: 362,785.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,774.65 : 659,312.49 = 262,894.61 : x
  2. Step 2: Convert to fraction form
    477,774.65/659,312.49 = 262,894.61/x
  3. Step 3: Cross multiply
    477,774.65x = 659,312.49 × 262,894.61
  4. Step 4: Simplify right side
    477,774.65x = 173,329,702,560.82
  5. Step 5: Solve for x
    x = 173,329,702,560.82/477,774.65
  6. Step 6: Final answer
    x = 362,785.47

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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.