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Finding the Fourth Proportional to 347,925.76, 480,137.52 and 197,051.92

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Solution

The fourth proportional to 347,925.76, 480,137.52 and 197,051.92 is: 271,931.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,925.76 : 480,137.52 = 197,051.92 : x
  2. Step 2: Convert to fraction form
    347,925.76/480,137.52 = 197,051.92/x
  3. Step 3: Cross multiply
    347,925.76x = 480,137.52 × 197,051.92
  4. Step 4: Simplify right side
    347,925.76x = 94,612,020,180.04
  5. Step 5: Solve for x
    x = 94,612,020,180.04/347,925.76
  6. Step 6: Final answer
    x = 271,931.63

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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.