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Finding the Fourth Proportional to 310,187.60, 465,718.80 and 192,089.60

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Solution

The fourth proportional to 310,187.60, 465,718.80 and 192,089.60 is: 288,405.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,187.60 : 465,718.80 = 192,089.60 : x
  2. Step 2: Convert to fraction form
    310,187.60/465,718.80 = 192,089.60/x
  3. Step 3: Cross multiply
    310,187.60x = 465,718.80 × 192,089.60
  4. Step 4: Simplify right side
    310,187.60x = 89,459,738,004.48
  5. Step 5: Solve for x
    x = 89,459,738,004.48/310,187.60
  6. Step 6: Final answer
    x = 288,405.27

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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.