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Finding the Fourth Proportional to 310,533.30, 465,467.76 and 160,622.64

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Solution

The fourth proportional to 310,533.30, 465,467.76 and 160,622.64 is: 240,762.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,533.30 : 465,467.76 = 160,622.64 : x
  2. Step 2: Convert to fraction form
    310,533.30/465,467.76 = 160,622.64/x
  3. Step 3: Cross multiply
    310,533.30x = 465,467.76 × 160,622.64
  4. Step 4: Simplify right side
    310,533.30x = 74,764,660,446.09
  5. Step 5: Solve for x
    x = 74,764,660,446.09/310,533.30
  6. Step 6: Final answer
    x = 240,762.14

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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.