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Finding the Fourth Proportional to 306,004.40, 459,103.80 and 137,459.60

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Solution

The fourth proportional to 306,004.40, 459,103.80 and 137,459.60 is: 206,233.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,004.40 : 459,103.80 = 137,459.60 : x
  2. Step 2: Convert to fraction form
    306,004.40/459,103.80 = 137,459.60/x
  3. Step 3: Cross multiply
    306,004.40x = 459,103.80 × 137,459.60
  4. Step 4: Simplify right side
    306,004.40x = 63,108,224,706.48
  5. Step 5: Solve for x
    x = 63,108,224,706.48/306,004.40
  6. Step 6: Final answer
    x = 206,233.06

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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.