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Finding the Fourth Proportional to 646,038.18, 969,145.94 and 219,459.50

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Solution

The fourth proportional to 646,038.18, 969,145.94 and 219,459.50 is: 329,219.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,038.18 : 969,145.94 = 219,459.50 : x
  2. Step 2: Convert to fraction form
    646,038.18/969,145.94 = 219,459.50/x
  3. Step 3: Cross multiply
    646,038.18x = 969,145.94 × 219,459.50
  4. Step 4: Simplify right side
    646,038.18x = 212,688,283,419.43
  5. Step 5: Solve for x
    x = 212,688,283,419.43/646,038.18
  6. Step 6: Final answer
    x = 329,219.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.