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Finding the Fourth Proportional to 597,924.30, 894,294.45 and 535,197.90

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Solution

The fourth proportional to 597,924.30, 894,294.45 and 535,197.90 is: 800,476.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,924.30 : 894,294.45 = 535,197.90 : x
  2. Step 2: Convert to fraction form
    597,924.30/894,294.45 = 535,197.90/x
  3. Step 3: Cross multiply
    597,924.30x = 894,294.45 × 535,197.90
  4. Step 4: Simplify right side
    597,924.30x = 478,624,511,621.66
  5. Step 5: Solve for x
    x = 478,624,511,621.66/597,924.30
  6. Step 6: Final answer
    x = 800,476.77

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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.