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Finding the Fourth Proportional to 342,725.60, 513,824.80 and 174,107.36

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Solution

The fourth proportional to 342,725.60, 513,824.80 and 174,107.36 is: 261,027.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,725.60 : 513,824.80 = 174,107.36 : x
  2. Step 2: Convert to fraction form
    342,725.60/513,824.80 = 174,107.36/x
  3. Step 3: Cross multiply
    342,725.60x = 513,824.80 × 174,107.36
  4. Step 4: Simplify right side
    342,725.60x = 89,460,679,430.53
  5. Step 5: Solve for x
    x = 89,460,679,430.53/342,725.60
  6. Step 6: Final answer
    x = 261,027.13

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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.