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Finding the Fourth Proportional to 615,909.40, 923,864.10 and 405,784.60

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Solution

The fourth proportional to 615,909.40, 923,864.10 and 405,784.60 is: 608,676.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,909.40 : 923,864.10 = 405,784.60 : x
  2. Step 2: Convert to fraction form
    615,909.40/923,864.10 = 405,784.60/x
  3. Step 3: Cross multiply
    615,909.40x = 923,864.10 × 405,784.60
  4. Step 4: Simplify right side
    615,909.40x = 374,889,824,272.86
  5. Step 5: Solve for x
    x = 374,889,824,272.86/615,909.40
  6. Step 6: Final answer
    x = 608,676.90

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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.