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Finding the Fourth Proportional to 531,902.24, 733,952.40 and 305,547.68

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Solution

The fourth proportional to 531,902.24, 733,952.40 and 305,547.68 is: 421,614.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,902.24 : 733,952.40 = 305,547.68 : x
  2. Step 2: Convert to fraction form
    531,902.24/733,952.40 = 305,547.68/x
  3. Step 3: Cross multiply
    531,902.24x = 733,952.40 × 305,547.68
  4. Step 4: Simplify right side
    531,902.24x = 224,257,453,050.43
  5. Step 5: Solve for x
    x = 224,257,453,050.43/531,902.24
  6. Step 6: Final answer
    x = 421,614.04

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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.