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Finding the Fourth Proportional to 452,005.20, 678,007.80 and 401,266.80

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Solution

The fourth proportional to 452,005.20, 678,007.80 and 401,266.80 is: 601,900.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,005.20 : 678,007.80 = 401,266.80 : x
  2. Step 2: Convert to fraction form
    452,005.20/678,007.80 = 401,266.80/x
  3. Step 3: Cross multiply
    452,005.20x = 678,007.80 × 401,266.80
  4. Step 4: Simplify right side
    452,005.20x = 272,062,020,281.04
  5. Step 5: Solve for x
    x = 272,062,020,281.04/452,005.20
  6. Step 6: Final answer
    x = 601,900.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.