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Finding the Fourth Proportional to 509,000.40, 763,500.60 and 193,440.60

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Solution

The fourth proportional to 509,000.40, 763,500.60 and 193,440.60 is: 290,160.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,000.40 : 763,500.60 = 193,440.60 : x
  2. Step 2: Convert to fraction form
    509,000.40/763,500.60 = 193,440.60/x
  3. Step 3: Cross multiply
    509,000.40x = 763,500.60 × 193,440.60
  4. Step 4: Simplify right side
    509,000.40x = 147,692,014,164.36
  5. Step 5: Solve for x
    x = 147,692,014,164.36/509,000.40
  6. Step 6: Final answer
    x = 290,160.90

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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.