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Finding the Fourth Proportional to 5,668,843.42, 8,503,271.80 and 1,409,011.66

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Solution

The fourth proportional to 5,668,843.42, 8,503,271.80 and 1,409,011.66 is: 2,113,519.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,668,843.42 : 8,503,271.80 = 1,409,011.66 : x
  2. Step 2: Convert to fraction form
    5,668,843.42/8,503,271.80 = 1,409,011.66/x
  3. Step 3: Cross multiply
    5,668,843.42x = 8,503,271.80 × 1,409,011.66
  4. Step 4: Simplify right side
    5,668,843.42x = 11,981,209,070,652.25
  5. Step 5: Solve for x
    x = 11,981,209,070,652.25/5,668,843.42
  6. Step 6: Final answer
    x = 2,113,519.14

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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.