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Finding the Fourth Proportional to 288,530.40, 432,795.60 and 164,114.40

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Solution

The fourth proportional to 288,530.40, 432,795.60 and 164,114.40 is: 246,171.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,530.40 : 432,795.60 = 164,114.40 : x
  2. Step 2: Convert to fraction form
    288,530.40/432,795.60 = 164,114.40/x
  3. Step 3: Cross multiply
    288,530.40x = 432,795.60 × 164,114.40
  4. Step 4: Simplify right side
    288,530.40x = 71,027,990,216.64
  5. Step 5: Solve for x
    x = 71,027,990,216.64/288,530.40
  6. Step 6: Final answer
    x = 246,171.60

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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.