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Finding the Fourth Proportional to 272,913.40, 409,370.10 and 152,847.10

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Solution

The fourth proportional to 272,913.40, 409,370.10 and 152,847.10 is: 229,270.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,913.40 : 409,370.10 = 152,847.10 : x
  2. Step 2: Convert to fraction form
    272,913.40/409,370.10 = 152,847.10/x
  3. Step 3: Cross multiply
    272,913.40x = 409,370.10 × 152,847.10
  4. Step 4: Simplify right side
    272,913.40x = 62,571,032,611.71
  5. Step 5: Solve for x
    x = 62,571,032,611.71/272,913.40
  6. Step 6: Final answer
    x = 229,270.65

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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.