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Finding the Fourth Proportional to 469,236, 646,829.10 and 287,611.32

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Solution

The fourth proportional to 469,236, 646,829.10 and 287,611.32 is: 396,464.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,236 : 646,829.10 = 287,611.32 : x
  2. Step 2: Convert to fraction form
    469,236/646,829.10 = 287,611.32/x
  3. Step 3: Cross multiply
    469,236x = 646,829.10 × 287,611.32
  4. Step 4: Simplify right side
    469,236x = 186,035,371,265.41
  5. Step 5: Solve for x
    x = 186,035,371,265.41/469,236
  6. Step 6: Final answer
    x = 396,464.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.