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Finding the Fourth Proportional to 384,749.43, 577,186.16 and 118,509.82

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Solution

The fourth proportional to 384,749.43, 577,186.16 and 118,509.82 is: 177,783.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,749.43 : 577,186.16 = 118,509.82 : x
  2. Step 2: Convert to fraction form
    384,749.43/577,186.16 = 118,509.82/x
  3. Step 3: Cross multiply
    384,749.43x = 577,186.16 × 118,509.82
  4. Step 4: Simplify right side
    384,749.43x = 68,402,225,892.58
  5. Step 5: Solve for x
    x = 68,402,225,892.58/384,749.43
  6. Step 6: Final answer
    x = 177,783.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.