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Finding the Fourth Proportional to 300,032.40, 413,849.61 and 192,432

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Solution

The fourth proportional to 300,032.40, 413,849.61 and 192,432 is: 265,431.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,032.40 : 413,849.61 = 192,432 : x
  2. Step 2: Convert to fraction form
    300,032.40/413,849.61 = 192,432/x
  3. Step 3: Cross multiply
    300,032.40x = 413,849.61 × 192,432
  4. Step 4: Simplify right side
    300,032.40x = 79,637,908,151.52
  5. Step 5: Solve for x
    x = 79,637,908,151.52/300,032.40
  6. Step 6: Final answer
    x = 265,431.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.