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Finding the Fourth Proportional to 462,071.60, 692,761.80 and 251,946.80

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Solution

The fourth proportional to 462,071.60, 692,761.80 and 251,946.80 is: 377,731.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,071.60 : 692,761.80 = 251,946.80 : x
  2. Step 2: Convert to fraction form
    462,071.60/692,761.80 = 251,946.80/x
  3. Step 3: Cross multiply
    462,071.60x = 692,761.80 × 251,946.80
  4. Step 4: Simplify right side
    462,071.60x = 174,539,118,672.24
  5. Step 5: Solve for x
    x = 174,539,118,672.24/462,071.60
  6. Step 6: Final answer
    x = 377,731.76

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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.