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Finding the Fourth Proportional to 343,132, 473,541.60 and 192,277.60

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Solution

The fourth proportional to 343,132, 473,541.60 and 192,277.60 is: 265,353.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,132 : 473,541.60 = 192,277.60 : x
  2. Step 2: Convert to fraction form
    343,132/473,541.60 = 192,277.60/x
  3. Step 3: Cross multiply
    343,132x = 473,541.60 × 192,277.60
  4. Step 4: Simplify right side
    343,132x = 91,051,442,348.16
  5. Step 5: Solve for x
    x = 91,051,442,348.16/343,132
  6. Step 6: Final answer
    x = 265,353.98

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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.