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Finding the Fourth Proportional to 413,575.60, 620,363.40 and 164,257.60

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Solution

The fourth proportional to 413,575.60, 620,363.40 and 164,257.60 is: 246,386.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,575.60 : 620,363.40 = 164,257.60 : x
  2. Step 2: Convert to fraction form
    413,575.60/620,363.40 = 164,257.60/x
  3. Step 3: Cross multiply
    413,575.60x = 620,363.40 × 164,257.60
  4. Step 4: Simplify right side
    413,575.60x = 101,899,403,211.84
  5. Step 5: Solve for x
    x = 101,899,403,211.84/413,575.60
  6. Step 6: Final answer
    x = 246,386.40

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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.