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Finding the Fourth Proportional to 531,765, 733,836.24 and 305,454.24

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Solution

The fourth proportional to 531,765, 733,836.24 and 305,454.24 is: 421,527.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,765 : 733,836.24 = 305,454.24 : x
  2. Step 2: Convert to fraction form
    531,765/733,836.24 = 305,454.24/x
  3. Step 3: Cross multiply
    531,765x = 733,836.24 × 305,454.24
  4. Step 4: Simplify right side
    531,765x = 224,153,390,973.66
  5. Step 5: Solve for x
    x = 224,153,390,973.66/531,765
  6. Step 6: Final answer
    x = 421,527.16

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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.