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Finding the Fourth Proportional to 596,663.72, 894,782.46 and 197,230.76

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Solution

The fourth proportional to 596,663.72, 894,782.46 and 197,230.76 is: 295,775.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,663.72 : 894,782.46 = 197,230.76 : x
  2. Step 2: Convert to fraction form
    596,663.72/894,782.46 = 197,230.76/x
  3. Step 3: Cross multiply
    596,663.72x = 894,782.46 × 197,230.76
  4. Step 4: Simplify right side
    596,663.72x = 176,478,624,620.47
  5. Step 5: Solve for x
    x = 176,478,624,620.47/596,663.72
  6. Step 6: Final answer
    x = 295,775.69

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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.