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Finding the Fourth Proportional to 509,152.82, 702,552.77 and 294,251.37

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Solution

The fourth proportional to 509,152.82, 702,552.77 and 294,251.37 is: 406,021.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,152.82 : 702,552.77 = 294,251.37 : x
  2. Step 2: Convert to fraction form
    509,152.82/702,552.77 = 294,251.37/x
  3. Step 3: Cross multiply
    509,152.82x = 702,552.77 × 294,251.37
  4. Step 4: Simplify right side
    509,152.82x = 206,727,113,598.54
  5. Step 5: Solve for x
    x = 206,727,113,598.54/509,152.82
  6. Step 6: Final answer
    x = 406,021.74

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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.