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Finding the Fourth Proportional to 294,123.20, 440,839.20 and 153,809.60

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Solution

The fourth proportional to 294,123.20, 440,839.20 and 153,809.60 is: 230,533.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,123.20 : 440,839.20 = 153,809.60 : x
  2. Step 2: Convert to fraction form
    294,123.20/440,839.20 = 153,809.60/x
  3. Step 3: Cross multiply
    294,123.20x = 440,839.20 × 153,809.60
  4. Step 4: Simplify right side
    294,123.20x = 67,805,301,016.32
  5. Step 5: Solve for x
    x = 67,805,301,016.32/294,123.20
  6. Step 6: Final answer
    x = 230,533.67

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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.