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Finding the Fourth Proportional to 306,416.94, 460,055.88 and 156,764.58

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Solution

The fourth proportional to 306,416.94, 460,055.88 and 156,764.58 is: 235,367.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,416.94 : 460,055.88 = 156,764.58 : x
  2. Step 2: Convert to fraction form
    306,416.94/460,055.88 = 156,764.58/x
  3. Step 3: Cross multiply
    306,416.94x = 460,055.88 × 156,764.58
  4. Step 4: Simplify right side
    306,416.94x = 72,120,466,804.73
  5. Step 5: Solve for x
    x = 72,120,466,804.73/306,416.94
  6. Step 6: Final answer
    x = 235,367.10

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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.