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Finding the Fourth Proportional to 307,826.04, 424,778.04 and 180,477

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Solution

The fourth proportional to 307,826.04, 424,778.04 and 180,477 is: 249,045.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,826.04 : 424,778.04 = 180,477 : x
  2. Step 2: Convert to fraction form
    307,826.04/424,778.04 = 180,477/x
  3. Step 3: Cross multiply
    307,826.04x = 424,778.04 × 180,477
  4. Step 4: Simplify right side
    307,826.04x = 76,662,666,325.08
  5. Step 5: Solve for x
    x = 76,662,666,325.08/307,826.04
  6. Step 6: Final answer
    x = 249,045.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.