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Finding the Fourth Proportional to 531,038.35, 796,446.82 and 194,237.65

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Solution

The fourth proportional to 531,038.35, 796,446.82 and 194,237.65 is: 291,315.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,038.35 : 796,446.82 = 194,237.65 : x
  2. Step 2: Convert to fraction form
    531,038.35/796,446.82 = 194,237.65/x
  3. Step 3: Cross multiply
    531,038.35x = 796,446.82 × 194,237.65
  4. Step 4: Simplify right side
    531,038.35x = 154,699,958,666.77
  5. Step 5: Solve for x
    x = 154,699,958,666.77/531,038.35
  6. Step 6: Final answer
    x = 291,315.98

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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.