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Finding the Fourth Proportional to 450,215.34, 675,322.65 and 180,465.36

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Solution

The fourth proportional to 450,215.34, 675,322.65 and 180,465.36 is: 270,697.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,215.34 : 675,322.65 = 180,465.36 : x
  2. Step 2: Convert to fraction form
    450,215.34/675,322.65 = 180,465.36/x
  3. Step 3: Cross multiply
    450,215.34x = 675,322.65 × 180,465.36
  4. Step 4: Simplify right side
    450,215.34x = 121,872,345,148.40
  5. Step 5: Solve for x
    x = 121,872,345,148.40/450,215.34
  6. Step 6: Final answer
    x = 270,697.90

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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.