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Finding the Fourth Proportional to 264,864.96, 397,304.64 and 77,882.40

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Solution

The fourth proportional to 264,864.96, 397,304.64 and 77,882.40 is: 116,825.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,864.96 : 397,304.64 = 77,882.40 : x
  2. Step 2: Convert to fraction form
    264,864.96/397,304.64 = 77,882.40/x
  3. Step 3: Cross multiply
    264,864.96x = 397,304.64 × 77,882.40
  4. Step 4: Simplify right side
    264,864.96x = 30,943,038,894.34
  5. Step 5: Solve for x
    x = 30,943,038,894.34/264,864.96
  6. Step 6: Final answer
    x = 116,825.72

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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.