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Finding the Fourth Proportional to 305,506.41, 458,200.27 and 153,663

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Solution

The fourth proportional to 305,506.41, 458,200.27 and 153,663 is: 230,464.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,506.41 : 458,200.27 = 153,663 : x
  2. Step 2: Convert to fraction form
    305,506.41/458,200.27 = 153,663/x
  3. Step 3: Cross multiply
    305,506.41x = 458,200.27 × 153,663
  4. Step 4: Simplify right side
    305,506.41x = 70,408,428,089.01
  5. Step 5: Solve for x
    x = 70,408,428,089.01/305,506.41
  6. Step 6: Final answer
    x = 230,464.65

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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.