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Finding the Fourth Proportional to 643,216.68, 887,693.50 and 356,829

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Solution

The fourth proportional to 643,216.68, 887,693.50 and 356,829 is: 492,454.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,216.68 : 887,693.50 = 356,829 : x
  2. Step 2: Convert to fraction form
    643,216.68/887,693.50 = 356,829/x
  3. Step 3: Cross multiply
    643,216.68x = 887,693.50 × 356,829
  4. Step 4: Simplify right side
    643,216.68x = 316,754,783,911.50
  5. Step 5: Solve for x
    x = 316,754,783,911.50/643,216.68
  6. Step 6: Final answer
    x = 492,454.24

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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.