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Finding the Fourth Proportional to 354,007.60, 531,011.40 and 164,467.60

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Solution

The fourth proportional to 354,007.60, 531,011.40 and 164,467.60 is: 246,701.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,007.60 : 531,011.40 = 164,467.60 : x
  2. Step 2: Convert to fraction form
    354,007.60/531,011.40 = 164,467.60/x
  3. Step 3: Cross multiply
    354,007.60x = 531,011.40 × 164,467.60
  4. Step 4: Simplify right side
    354,007.60x = 87,334,170,530.64
  5. Step 5: Solve for x
    x = 87,334,170,530.64/354,007.60
  6. Step 6: Final answer
    x = 246,701.40

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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.