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Finding the Fourth Proportional to 615,838.40, 923,757.60 and 405,713.60

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Solution

The fourth proportional to 615,838.40, 923,757.60 and 405,713.60 is: 608,570.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,838.40 : 923,757.60 = 405,713.60 : x
  2. Step 2: Convert to fraction form
    615,838.40/923,757.60 = 405,713.60/x
  3. Step 3: Cross multiply
    615,838.40x = 923,757.60 × 405,713.60
  4. Step 4: Simplify right side
    615,838.40x = 374,781,021,423.36
  5. Step 5: Solve for x
    x = 374,781,021,423.36/615,838.40
  6. Step 6: Final answer
    x = 608,570.40

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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.