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Finding the Fourth Proportional to 390,490.60, 585,825.96 and 165,858.28

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Solution

The fourth proportional to 390,490.60, 585,825.96 and 165,858.28 is: 248,825.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,490.60 : 585,825.96 = 165,858.28 : x
  2. Step 2: Convert to fraction form
    390,490.60/585,825.96 = 165,858.28/x
  3. Step 3: Cross multiply
    390,490.60x = 585,825.96 × 165,858.28
  4. Step 4: Simplify right side
    390,490.60x = 97,164,086,104.95
  5. Step 5: Solve for x
    x = 97,164,086,104.95/390,490.60
  6. Step 6: Final answer
    x = 248,825.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.