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Finding the Fourth Proportional to 531,755.44, 733,804.60 and 316,784.16

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Solution

The fourth proportional to 531,755.44, 733,804.60 and 316,784.16 is: 437,151.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,755.44 : 733,804.60 = 316,784.16 : x
  2. Step 2: Convert to fraction form
    531,755.44/733,804.60 = 316,784.16/x
  3. Step 3: Cross multiply
    531,755.44x = 733,804.60 × 316,784.16
  4. Step 4: Simplify right side
    531,755.44x = 232,457,673,815.14
  5. Step 5: Solve for x
    x = 232,457,673,815.14/531,755.44
  6. Step 6: Final answer
    x = 437,151.47

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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.