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Finding the Fourth Proportional to 5,304,306.72, 7,956,401.52 and 3,174,985.20

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Solution

The fourth proportional to 5,304,306.72, 7,956,401.52 and 3,174,985.20 is: 4,762,442.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,304,306.72 : 7,956,401.52 = 3,174,985.20 : x
  2. Step 2: Convert to fraction form
    5,304,306.72/7,956,401.52 = 3,174,985.20/x
  3. Step 3: Cross multiply
    5,304,306.72x = 7,956,401.52 × 3,174,985.20
  4. Step 4: Simplify right side
    5,304,306.72x = 25,261,457,071,257.50
  5. Step 5: Solve for x
    x = 25,261,457,071,257.50/5,304,306.72
  6. Step 6: Final answer
    x = 4,762,442.75

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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.