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Finding the Fourth Proportional to 407,874.48, 611,704.80 and 183,109.20

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Solution

The fourth proportional to 407,874.48, 611,704.80 and 183,109.20 is: 274,615.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,874.48 : 611,704.80 = 183,109.20 : x
  2. Step 2: Convert to fraction form
    407,874.48/611,704.80 = 183,109.20/x
  3. Step 3: Cross multiply
    407,874.48x = 611,704.80 × 183,109.20
  4. Step 4: Simplify right side
    407,874.48x = 112,008,776,564.16
  5. Step 5: Solve for x
    x = 112,008,776,564.16/407,874.48
  6. Step 6: Final answer
    x = 274,615.80

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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.