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Finding the Fourth Proportional to 343,830.16, 474,493.80 and 192,938.32

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Solution

The fourth proportional to 343,830.16, 474,493.80 and 192,938.32 is: 266,259.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,830.16 : 474,493.80 = 192,938.32 : x
  2. Step 2: Convert to fraction form
    343,830.16/474,493.80 = 192,938.32/x
  3. Step 3: Cross multiply
    343,830.16x = 474,493.80 × 192,938.32
  4. Step 4: Simplify right side
    343,830.16x = 91,548,036,622.42
  5. Step 5: Solve for x
    x = 91,548,036,622.42/343,830.16
  6. Step 6: Final answer
    x = 266,259.47

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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.