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Finding the Fourth Proportional to 509,302.37, 702,796.13 and 294,456.29

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Solution

The fourth proportional to 509,302.37, 702,796.13 and 294,456.29 is: 406,325.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,302.37 : 702,796.13 = 294,456.29 : x
  2. Step 2: Convert to fraction form
    509,302.37/702,796.13 = 294,456.29/x
  3. Step 3: Cross multiply
    509,302.37x = 702,796.13 × 294,456.29
  4. Step 4: Simplify right side
    509,302.37x = 206,942,736,079.90
  5. Step 5: Solve for x
    x = 206,942,736,079.90/509,302.37
  6. Step 6: Final answer
    x = 406,325.88

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1.5x scale

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.