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Finding the Fourth Proportional to 6,295,655.46, 9,423,934.90 and 3,409,854.90

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Solution

The fourth proportional to 6,295,655.46, 9,423,934.90 and 3,409,854.90 is: 5,104,194.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,295,655.46 : 9,423,934.90 = 3,409,854.90 : x
  2. Step 2: Convert to fraction form
    6,295,655.46/9,423,934.90 = 3,409,854.90/x
  3. Step 3: Cross multiply
    6,295,655.46x = 9,423,934.90 × 3,409,854.90
  4. Step 4: Simplify right side
    6,295,655.46x = 32,134,250,596,046.01
  5. Step 5: Solve for x
    x = 32,134,250,596,046.01/6,295,655.46
  6. Step 6: Final answer
    x = 5,104,194.60

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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.