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Finding the Fourth Proportional to 540,925.20, 811,464.60 and 166,909.20

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Solution

The fourth proportional to 540,925.20, 811,464.60 and 166,909.20 is: 250,387.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,925.20 : 811,464.60 = 166,909.20 : x
  2. Step 2: Convert to fraction form
    540,925.20/811,464.60 = 166,909.20/x
  3. Step 3: Cross multiply
    540,925.20x = 811,464.60 × 166,909.20
  4. Step 4: Simplify right side
    540,925.20x = 135,440,907,214.32
  5. Step 5: Solve for x
    x = 135,440,907,214.32/540,925.20
  6. Step 6: Final answer
    x = 250,387.50

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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.