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Finding the Fourth Proportional to 509,152.31, 702,552.08 and 294,250.87

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Solution

The fourth proportional to 509,152.31, 702,552.08 and 294,250.87 is: 406,021.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,152.31 : 702,552.08 = 294,250.87 : x
  2. Step 2: Convert to fraction form
    509,152.31/702,552.08 = 294,250.87/x
  3. Step 3: Cross multiply
    509,152.31x = 702,552.08 × 294,250.87
  4. Step 4: Simplify right side
    509,152.31x = 206,726,560,760.31
  5. Step 5: Solve for x
    x = 206,726,560,760.31/509,152.31
  6. Step 6: Final answer
    x = 406,021.06

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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.