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Finding the Fourth Proportional to 409,816.60, 614,457.60 and 367,826.20

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Solution

The fourth proportional to 409,816.60, 614,457.60 and 367,826.20 is: 551,499.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,816.60 : 614,457.60 = 367,826.20 : x
  2. Step 2: Convert to fraction form
    409,816.60/614,457.60 = 367,826.20/x
  3. Step 3: Cross multiply
    409,816.60x = 614,457.60 × 367,826.20
  4. Step 4: Simplify right side
    409,816.60x = 226,013,604,069.12
  5. Step 5: Solve for x
    x = 226,013,604,069.12/409,816.60
  6. Step 6: Final answer
    x = 551,499.39

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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.