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Finding the Fourth Proportional to 452,228.11, 678,357.40 and 227,466

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Solution

The fourth proportional to 452,228.11, 678,357.40 and 227,466 is: 341,206.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,228.11 : 678,357.40 = 227,466 : x
  2. Step 2: Convert to fraction form
    452,228.11/678,357.40 = 227,466/x
  3. Step 3: Cross multiply
    452,228.11x = 678,357.40 × 227,466
  4. Step 4: Simplify right side
    452,228.11x = 154,303,243,779.74
  5. Step 5: Solve for x
    x = 154,303,243,779.74/452,228.11
  6. Step 6: Final answer
    x = 341,206.66

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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.