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Finding the Fourth Proportional to 413,428.90, 620,106.90 and 113,882.80

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Solution

The fourth proportional to 413,428.90, 620,106.90 and 113,882.80 is: 170,814.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,428.90 : 620,106.90 = 113,882.80 : x
  2. Step 2: Convert to fraction form
    413,428.90/620,106.90 = 113,882.80/x
  3. Step 3: Cross multiply
    413,428.90x = 620,106.90 × 113,882.80
  4. Step 4: Simplify right side
    413,428.90x = 70,619,510,071.32
  5. Step 5: Solve for x
    x = 70,619,510,071.32/413,428.90
  6. Step 6: Final answer
    x = 170,814.16

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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.