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Finding the Fourth Proportional to 486,624.80, 729,807.60 and 149,664.80

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Solution

The fourth proportional to 486,624.80, 729,807.60 and 149,664.80 is: 224,457.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,624.80 : 729,807.60 = 149,664.80 : x
  2. Step 2: Convert to fraction form
    486,624.80/729,807.60 = 149,664.80/x
  3. Step 3: Cross multiply
    486,624.80x = 729,807.60 × 149,664.80
  4. Step 4: Simplify right side
    486,624.80x = 109,226,508,492.48
  5. Step 5: Solve for x
    x = 109,226,508,492.48/486,624.80
  6. Step 6: Final answer
    x = 224,457.34

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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.