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Finding the Fourth Proportional to 652,090.56, 978,023.70 and 172,323.60

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Solution

The fourth proportional to 652,090.56, 978,023.70 and 172,323.60 is: 258,455.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,090.56 : 978,023.70 = 172,323.60 : x
  2. Step 2: Convert to fraction form
    652,090.56/978,023.70 = 172,323.60/x
  3. Step 3: Cross multiply
    652,090.56x = 978,023.70 × 172,323.60
  4. Step 4: Simplify right side
    652,090.56x = 168,536,564,869.32
  5. Step 5: Solve for x
    x = 168,536,564,869.32/652,090.56
  6. Step 6: Final answer
    x = 258,455.77

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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.