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Finding the Fourth Proportional to 343,598.16, 474,165 and 192,693.84

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Solution

The fourth proportional to 343,598.16, 474,165 and 192,693.84 is: 265,917.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,598.16 : 474,165 = 192,693.84 : x
  2. Step 2: Convert to fraction form
    343,598.16/474,165 = 192,693.84/x
  3. Step 3: Cross multiply
    343,598.16x = 474,165 × 192,693.84
  4. Step 4: Simplify right side
    343,598.16x = 91,368,674,643.60
  5. Step 5: Solve for x
    x = 91,368,674,643.60/343,598.16
  6. Step 6: Final answer
    x = 265,917.24

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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.