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Finding the Fourth Proportional to 615,743.40, 923,615.10 and 416,159.40

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Solution

The fourth proportional to 615,743.40, 923,615.10 and 416,159.40 is: 624,239.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,743.40 : 923,615.10 = 416,159.40 : x
  2. Step 2: Convert to fraction form
    615,743.40/923,615.10 = 416,159.40/x
  3. Step 3: Cross multiply
    615,743.40x = 923,615.10 × 416,159.40
  4. Step 4: Simplify right side
    615,743.40x = 384,371,105,846.94
  5. Step 5: Solve for x
    x = 384,371,105,846.94/615,743.40
  6. Step 6: Final answer
    x = 624,239.10

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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.