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Finding the Fourth Proportional to 537,928.40, 807,670.20 and 405,736.40

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Solution

The fourth proportional to 537,928.40, 807,670.20 and 405,736.40 is: 609,191.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,928.40 : 807,670.20 = 405,736.40 : x
  2. Step 2: Convert to fraction form
    537,928.40/807,670.20 = 405,736.40/x
  3. Step 3: Cross multiply
    537,928.40x = 807,670.20 × 405,736.40
  4. Step 4: Simplify right side
    537,928.40x = 327,701,199,335.28
  5. Step 5: Solve for x
    x = 327,701,199,335.28/537,928.40
  6. Step 6: Final answer
    x = 609,191.11

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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.