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Finding the Fourth Proportional to 353,730.94, 488,148.77 and 192,586

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Solution

The fourth proportional to 353,730.94, 488,148.77 and 192,586 is: 265,768.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,730.94 : 488,148.77 = 192,586 : x
  2. Step 2: Convert to fraction form
    353,730.94/488,148.77 = 192,586/x
  3. Step 3: Cross multiply
    353,730.94x = 488,148.77 × 192,586
  4. Step 4: Simplify right side
    353,730.94x = 94,010,619,019.22
  5. Step 5: Solve for x
    x = 94,010,619,019.22/353,730.94
  6. Step 6: Final answer
    x = 265,768.72

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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.