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Finding the Fourth Proportional to 353,647.34, 488,039.56 and 192,507.02

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Solution

The fourth proportional to 353,647.34, 488,039.56 and 192,507.02 is: 265,663.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,647.34 : 488,039.56 = 192,507.02 : x
  2. Step 2: Convert to fraction form
    353,647.34/488,039.56 = 192,507.02/x
  3. Step 3: Cross multiply
    353,647.34x = 488,039.56 × 192,507.02
  4. Step 4: Simplify right side
    353,647.34x = 93,951,041,337.71
  5. Step 5: Solve for x
    x = 93,951,041,337.71/353,647.34
  6. Step 6: Final answer
    x = 265,663.08

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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.