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Finding the Fourth Proportional to 258,530.40, 387,795.60 and 174,549.60

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Solution

The fourth proportional to 258,530.40, 387,795.60 and 174,549.60 is: 261,824.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,530.40 : 387,795.60 = 174,549.60 : x
  2. Step 2: Convert to fraction form
    258,530.40/387,795.60 = 174,549.60/x
  3. Step 3: Cross multiply
    258,530.40x = 387,795.60 × 174,549.60
  4. Step 4: Simplify right side
    258,530.40x = 67,689,566,861.76
  5. Step 5: Solve for x
    x = 67,689,566,861.76/258,530.40
  6. Step 6: Final answer
    x = 261,824.40

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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.