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Finding the Fourth Proportional to 289,657.34, 399,652.08 and 174,845.24

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Solution

The fourth proportional to 289,657.34, 399,652.08 and 174,845.24 is: 241,241.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,657.34 : 399,652.08 = 174,845.24 : x
  2. Step 2: Convert to fraction form
    289,657.34/399,652.08 = 174,845.24/x
  3. Step 3: Cross multiply
    289,657.34x = 399,652.08 × 174,845.24
  4. Step 4: Simplify right side
    289,657.34x = 69,877,263,844.10
  5. Step 5: Solve for x
    x = 69,877,263,844.10/289,657.34
  6. Step 6: Final answer
    x = 241,241.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.