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Finding the Fourth Proportional to 564,636.30, 846,206.88 and 414,172.08

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Solution

The fourth proportional to 564,636.30, 846,206.88 and 414,172.08 is: 620,709.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,636.30 : 846,206.88 = 414,172.08 : x
  2. Step 2: Convert to fraction form
    564,636.30/846,206.88 = 414,172.08/x
  3. Step 3: Cross multiply
    564,636.30x = 846,206.88 × 414,172.08
  4. Step 4: Simplify right side
    564,636.30x = 350,475,263,599.91
  5. Step 5: Solve for x
    x = 350,475,263,599.91/564,636.30
  6. Step 6: Final answer
    x = 620,709.76

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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.