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Finding the Fourth Proportional to 585,107.76, 877,692.03 and 185,779.80

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Solution

The fourth proportional to 585,107.76, 877,692.03 and 185,779.80 is: 278,679.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,107.76 : 877,692.03 = 185,779.80 : x
  2. Step 2: Convert to fraction form
    585,107.76/877,692.03 = 185,779.80/x
  3. Step 3: Cross multiply
    585,107.76x = 877,692.03 × 185,779.80
  4. Step 4: Simplify right side
    585,107.76x = 163,057,449,794.99
  5. Step 5: Solve for x
    x = 163,057,449,794.99/585,107.76
  6. Step 6: Final answer
    x = 278,679.35

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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.