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Finding the Fourth Proportional to 309,744.61, 464,518.46 and 210,542.29

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Solution

The fourth proportional to 309,744.61, 464,518.46 and 210,542.29 is: 315,746.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,744.61 : 464,518.46 = 210,542.29 : x
  2. Step 2: Convert to fraction form
    309,744.61/464,518.46 = 210,542.29/x
  3. Step 3: Cross multiply
    309,744.61x = 464,518.46 × 210,542.29
  4. Step 4: Simplify right side
    309,744.61x = 97,800,779,680.73
  5. Step 5: Solve for x
    x = 97,800,779,680.73/309,744.61
  6. Step 6: Final answer
    x = 315,746.51

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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.