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Finding the Fourth Proportional to 531,138.65, 733,903.76 and 424,588.01

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Solution

The fourth proportional to 531,138.65, 733,903.76 and 424,588.01 is: 586,676.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,138.65 : 733,903.76 = 424,588.01 : x
  2. Step 2: Convert to fraction form
    531,138.65/733,903.76 = 424,588.01/x
  3. Step 3: Cross multiply
    531,138.65x = 733,903.76 × 424,588.01
  4. Step 4: Simplify right side
    531,138.65x = 311,606,734,866.98
  5. Step 5: Solve for x
    x = 311,606,734,866.98/531,138.65
  6. Step 6: Final answer
    x = 586,676.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.