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Finding the Fourth Proportional to 384,274.56, 530,267.40 and 223,078.08

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Solution

The fourth proportional to 384,274.56, 530,267.40 and 223,078.08 is: 307,829.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,274.56 : 530,267.40 = 223,078.08 : x
  2. Step 2: Convert to fraction form
    384,274.56/530,267.40 = 223,078.08/x
  3. Step 3: Cross multiply
    384,274.56x = 530,267.40 × 223,078.08
  4. Step 4: Simplify right side
    384,274.56x = 118,291,033,478.59
  5. Step 5: Solve for x
    x = 118,291,033,478.59/384,274.56
  6. Step 6: Final answer
    x = 307,829.47

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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.