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Finding the Fourth Proportional to 531,798, 797,696.59 and 157,821

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Solution

The fourth proportional to 531,798, 797,696.59 and 157,821 is: 236,731.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,798 : 797,696.59 = 157,821 : x
  2. Step 2: Convert to fraction form
    531,798/797,696.59 = 157,821/x
  3. Step 3: Cross multiply
    531,798x = 797,696.59 × 157,821
  4. Step 4: Simplify right side
    531,798x = 125,893,273,530.39
  5. Step 5: Solve for x
    x = 125,893,273,530.39/531,798
  6. Step 6: Final answer
    x = 236,731.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.