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Finding the Fourth Proportional to 216,488.30, 324,732.45 and 164,000.30

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Solution

The fourth proportional to 216,488.30, 324,732.45 and 164,000.30 is: 246,000.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,488.30 : 324,732.45 = 164,000.30 : x
  2. Step 2: Convert to fraction form
    216,488.30/324,732.45 = 164,000.30/x
  3. Step 3: Cross multiply
    216,488.30x = 324,732.45 × 164,000.30
  4. Step 4: Simplify right side
    216,488.30x = 53,256,219,219.74
  5. Step 5: Solve for x
    x = 53,256,219,219.74/216,488.30
  6. Step 6: Final answer
    x = 246,000.45

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1.5x scale

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.