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Finding the Fourth Proportional to 531,306.28, 797,075.82 and 157,358.44

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Solution

The fourth proportional to 531,306.28, 797,075.82 and 157,358.44 is: 236,072.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,306.28 : 797,075.82 = 157,358.44 : x
  2. Step 2: Convert to fraction form
    531,306.28/797,075.82 = 157,358.44/x
  3. Step 3: Cross multiply
    531,306.28x = 797,075.82 × 157,358.44
  4. Step 4: Simplify right side
    531,306.28x = 125,426,607,596.92
  5. Step 5: Solve for x
    x = 125,426,607,596.92/531,306.28
  6. Step 6: Final answer
    x = 236,072.13

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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.