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Finding the Fourth Proportional to 560,564.29, 840,346.45 and 205,495.44

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Solution

The fourth proportional to 560,564.29, 840,346.45 and 205,495.44 is: 308,059.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,564.29 : 840,346.45 = 205,495.44 : x
  2. Step 2: Convert to fraction form
    560,564.29/840,346.45 = 205,495.44/x
  3. Step 3: Cross multiply
    560,564.29x = 840,346.45 × 205,495.44
  4. Step 4: Simplify right side
    560,564.29x = 172,687,363,495.19
  5. Step 5: Solve for x
    x = 172,687,363,495.19/560,564.29
  6. Step 6: Final answer
    x = 308,059.87

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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.