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Finding the Fourth Proportional to 298,281.53, 411,628.58 and 164,145.53

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Solution

The fourth proportional to 298,281.53, 411,628.58 and 164,145.53 is: 226,520.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,281.53 : 411,628.58 = 164,145.53 : x
  2. Step 2: Convert to fraction form
    298,281.53/411,628.58 = 164,145.53/x
  3. Step 3: Cross multiply
    298,281.53x = 411,628.58 × 164,145.53
  4. Step 4: Simplify right side
    298,281.53x = 67,566,991,427.25
  5. Step 5: Solve for x
    x = 67,566,991,427.25/298,281.53
  6. Step 6: Final answer
    x = 226,520.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.