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Finding the Fourth Proportional to 329,062.86, 493,594.29 and 118,700.78

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Solution

The fourth proportional to 329,062.86, 493,594.29 and 118,700.78 is: 178,051.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,062.86 : 493,594.29 = 118,700.78 : x
  2. Step 2: Convert to fraction form
    329,062.86/493,594.29 = 118,700.78/x
  3. Step 3: Cross multiply
    329,062.86x = 493,594.29 × 118,700.78
  4. Step 4: Simplify right side
    329,062.86x = 58,590,024,758.57
  5. Step 5: Solve for x
    x = 58,590,024,758.57/329,062.86
  6. Step 6: Final answer
    x = 178,051.16

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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.