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Finding the Fourth Proportional to 413,718.80, 620,578.20 and 177,522.80

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Solution

The fourth proportional to 413,718.80, 620,578.20 and 177,522.80 is: 266,284.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,718.80 : 620,578.20 = 177,522.80 : x
  2. Step 2: Convert to fraction form
    413,718.80/620,578.20 = 177,522.80/x
  3. Step 3: Cross multiply
    413,718.80x = 620,578.20 × 177,522.80
  4. Step 4: Simplify right side
    413,718.80x = 110,166,779,682.96
  5. Step 5: Solve for x
    x = 110,166,779,682.96/413,718.80
  6. Step 6: Final answer
    x = 266,284.20

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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.