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Finding the Fourth Proportional to 241,722.40, 362,583.60 and 214,765.60

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Solution

The fourth proportional to 241,722.40, 362,583.60 and 214,765.60 is: 322,148.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,722.40 : 362,583.60 = 214,765.60 : x
  2. Step 2: Convert to fraction form
    241,722.40/362,583.60 = 214,765.60/x
  3. Step 3: Cross multiply
    241,722.40x = 362,583.60 × 214,765.60
  4. Step 4: Simplify right side
    241,722.40x = 77,870,484,404.16
  5. Step 5: Solve for x
    x = 77,870,484,404.16/241,722.40
  6. Step 6: Final answer
    x = 322,148.40

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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.