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Finding the Fourth Proportional to 294,345.52, 406,191.59 and 165,285.03

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Solution

The fourth proportional to 294,345.52, 406,191.59 and 165,285.03 is: 228,090.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,345.52 : 406,191.59 = 165,285.03 : x
  2. Step 2: Convert to fraction form
    294,345.52/406,191.59 = 165,285.03/x
  3. Step 3: Cross multiply
    294,345.52x = 406,191.59 × 165,285.03
  4. Step 4: Simplify right side
    294,345.52x = 67,137,388,848.23
  5. Step 5: Solve for x
    x = 67,137,388,848.23/294,345.52
  6. Step 6: Final answer
    x = 228,090.40

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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.