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Finding the Fourth Proportional to 410,123.40, 614,724.30 and 210,366.60

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Solution

The fourth proportional to 410,123.40, 614,724.30 and 210,366.60 is: 315,313.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,123.40 : 614,724.30 = 210,366.60 : x
  2. Step 2: Convert to fraction form
    410,123.40/614,724.30 = 210,366.60/x
  3. Step 3: Cross multiply
    410,123.40x = 614,724.30 × 210,366.60
  4. Step 4: Simplify right side
    410,123.40x = 129,317,460,928.38
  5. Step 5: Solve for x
    x = 129,317,460,928.38/410,123.40
  6. Step 6: Final answer
    x = 315,313.54

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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.