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Finding the Fourth Proportional to 475,472.84, 714,097.56 and 418,566.92

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Solution

The fourth proportional to 475,472.84, 714,097.56 and 418,566.92 is: 628,632.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,472.84 : 714,097.56 = 418,566.92 : x
  2. Step 2: Convert to fraction form
    475,472.84/714,097.56 = 418,566.92/x
  3. Step 3: Cross multiply
    475,472.84x = 714,097.56 × 418,566.92
  4. Step 4: Simplify right side
    475,472.84x = 298,897,616,268.72
  5. Step 5: Solve for x
    x = 298,897,616,268.72/475,472.84
  6. Step 6: Final answer
    x = 628,632.37

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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.