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Finding the Fourth Proportional to 476,257.60, 714,386.42 and 223,712.44

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Solution

The fourth proportional to 476,257.60, 714,386.42 and 223,712.44 is: 335,568.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,257.60 : 714,386.42 = 223,712.44 : x
  2. Step 2: Convert to fraction form
    476,257.60/714,386.42 = 223,712.44/x
  3. Step 3: Cross multiply
    476,257.60x = 714,386.42 × 223,712.44
  4. Step 4: Simplify right side
    476,257.60x = 159,817,129,121.07
  5. Step 5: Solve for x
    x = 159,817,129,121.07/476,257.60
  6. Step 6: Final answer
    x = 335,568.67

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Why These Related Problems?

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