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Finding the Fourth Proportional to 475,473.84, 714,099.06 and 418,567.92

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Solution

The fourth proportional to 475,473.84, 714,099.06 and 418,567.92 is: 628,633.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,473.84 : 714,099.06 = 418,567.92 : x
  2. Step 2: Convert to fraction form
    475,473.84/714,099.06 = 418,567.92/x
  3. Step 3: Cross multiply
    475,473.84x = 714,099.06 × 418,567.92
  4. Step 4: Simplify right side
    475,473.84x = 298,898,958,218.16
  5. Step 5: Solve for x
    x = 298,898,958,218.16/475,473.84
  6. Step 6: Final answer
    x = 628,633.87

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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.