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Finding the Fourth Proportional to 412,683.84, 619,025.60 and 272,409.60

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Solution

The fourth proportional to 412,683.84, 619,025.60 and 272,409.60 is: 408,614.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,683.84 : 619,025.60 = 272,409.60 : x
  2. Step 2: Convert to fraction form
    412,683.84/619,025.60 = 272,409.60/x
  3. Step 3: Cross multiply
    412,683.84x = 619,025.60 × 272,409.60
  4. Step 4: Simplify right side
    412,683.84x = 168,628,516,085.76
  5. Step 5: Solve for x
    x = 168,628,516,085.76/412,683.84
  6. Step 6: Final answer
    x = 408,614.29

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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.