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Finding the Fourth Proportional to 5,834,223.80, 8,751,335.70 and 1,574,385.20

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Solution

The fourth proportional to 5,834,223.80, 8,751,335.70 and 1,574,385.20 is: 2,361,577.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,834,223.80 : 8,751,335.70 = 1,574,385.20 : x
  2. Step 2: Convert to fraction form
    5,834,223.80/8,751,335.70 = 1,574,385.20/x
  3. Step 3: Cross multiply
    5,834,223.80x = 8,751,335.70 × 1,574,385.20
  4. Step 4: Simplify right side
    5,834,223.80x = 13,777,973,406,311.64
  5. Step 5: Solve for x
    x = 13,777,973,406,311.64/5,834,223.80
  6. Step 6: Final answer
    x = 2,361,577.80

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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.