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Finding the Fourth Proportional to 531,204.65, 733,043.80 and 289,482.29

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Solution

The fourth proportional to 531,204.65, 733,043.80 and 289,482.29 is: 399,475.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,204.65 : 733,043.80 = 289,482.29 : x
  2. Step 2: Convert to fraction form
    531,204.65/733,043.80 = 289,482.29/x
  3. Step 3: Cross multiply
    531,204.65x = 733,043.80 × 289,482.29
  4. Step 4: Simplify right side
    531,204.65x = 212,203,200,088.76
  5. Step 5: Solve for x
    x = 212,203,200,088.76/531,204.65
  6. Step 6: Final answer
    x = 399,475.42

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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.