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Finding the Fourth Proportional to 585,107.96, 877,692.02 and 164,416.64

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Solution

The fourth proportional to 585,107.96, 877,692.02 and 164,416.64 is: 246,633.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,107.96 : 877,692.02 = 164,416.64 : x
  2. Step 2: Convert to fraction form
    585,107.96/877,692.02 = 164,416.64/x
  3. Step 3: Cross multiply
    585,107.96x = 877,692.02 × 164,416.64
  4. Step 4: Simplify right side
    585,107.96x = 144,307,172,883.21
  5. Step 5: Solve for x
    x = 144,307,172,883.21/585,107.96
  6. Step 6: Final answer
    x = 246,633.41

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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.