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Finding the Fourth Proportional to 531,312.65, 733,204.98 and 289,594.46

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Solution

The fourth proportional to 531,312.65, 733,204.98 and 289,594.46 is: 399,636.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,312.65 : 733,204.98 = 289,594.46 : x
  2. Step 2: Convert to fraction form
    531,312.65/733,204.98 = 289,594.46/x
  3. Step 3: Cross multiply
    531,312.65x = 733,204.98 × 289,594.46
  4. Step 4: Simplify right side
    531,312.65x = 212,332,100,252.41
  5. Step 5: Solve for x
    x = 212,332,100,252.41/531,312.65
  6. Step 6: Final answer
    x = 399,636.82

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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.