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Finding the Fourth Proportional to 492,828.60, 738,206.10 and 409,884.60

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Solution

The fourth proportional to 492,828.60, 738,206.10 and 409,884.60 is: 613,964.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,828.60 : 738,206.10 = 409,884.60 : x
  2. Step 2: Convert to fraction form
    492,828.60/738,206.10 = 409,884.60/x
  3. Step 3: Cross multiply
    492,828.60x = 738,206.10 × 409,884.60
  4. Step 4: Simplify right side
    492,828.60x = 302,579,312,016.06
  5. Step 5: Solve for x
    x = 302,579,312,016.06/492,828.60
  6. Step 6: Final answer
    x = 613,964.60

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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.