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Finding the Fourth Proportional to 596,646.72, 894,756.96 and 197,213.76

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Solution

The fourth proportional to 596,646.72, 894,756.96 and 197,213.76 is: 295,750.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,646.72 : 894,756.96 = 197,213.76 : x
  2. Step 2: Convert to fraction form
    596,646.72/894,756.96 = 197,213.76/x
  3. Step 3: Cross multiply
    596,646.72x = 894,756.96 × 197,213.76
  4. Step 4: Simplify right side
    596,646.72x = 176,458,384,367.77
  5. Step 5: Solve for x
    x = 176,458,384,367.77/596,646.72
  6. Step 6: Final answer
    x = 295,750.20

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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.