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Finding the Fourth Proportional to 589,443.40, 884,165.10 and 146,211.40

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Solution

The fourth proportional to 589,443.40, 884,165.10 and 146,211.40 is: 219,317.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,443.40 : 884,165.10 = 146,211.40 : x
  2. Step 2: Convert to fraction form
    589,443.40/884,165.10 = 146,211.40/x
  3. Step 3: Cross multiply
    589,443.40x = 884,165.10 × 146,211.40
  4. Step 4: Simplify right side
    589,443.40x = 129,275,017,102.14
  5. Step 5: Solve for x
    x = 129,275,017,102.14/589,443.40
  6. Step 6: Final answer
    x = 219,317.10

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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.