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Finding the Fourth Proportional to 615,721.40, 923,582.10 and 416,137.40

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Solution

The fourth proportional to 615,721.40, 923,582.10 and 416,137.40 is: 624,206.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,721.40 : 923,582.10 = 416,137.40 : x
  2. Step 2: Convert to fraction form
    615,721.40/923,582.10 = 416,137.40/x
  3. Step 3: Cross multiply
    615,721.40x = 923,582.10 × 416,137.40
  4. Step 4: Simplify right side
    615,721.40x = 384,337,053,780.54
  5. Step 5: Solve for x
    x = 384,337,053,780.54/615,721.40
  6. Step 6: Final answer
    x = 624,206.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.