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Finding the Fourth Proportional to 342,002.10, 471,954.64 and 186,946.50

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Solution

The fourth proportional to 342,002.10, 471,954.64 and 186,946.50 is: 257,981.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,002.10 : 471,954.64 = 186,946.50 : x
  2. Step 2: Convert to fraction form
    342,002.10/471,954.64 = 186,946.50/x
  3. Step 3: Cross multiply
    342,002.10x = 471,954.64 × 186,946.50
  4. Step 4: Simplify right side
    342,002.10x = 88,230,268,106.76
  5. Step 5: Solve for x
    x = 88,230,268,106.76/342,002.10
  6. Step 6: Final answer
    x = 257,981.66

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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.