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Finding the Fourth Proportional to 509,059.76, 762,556.28 and 396,276.17

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Solution

The fourth proportional to 509,059.76, 762,556.28 and 396,276.17 is: 593,609.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,059.76 : 762,556.28 = 396,276.17 : x
  2. Step 2: Convert to fraction form
    509,059.76/762,556.28 = 396,276.17/x
  3. Step 3: Cross multiply
    509,059.76x = 762,556.28 × 396,276.17
  4. Step 4: Simplify right side
    509,059.76x = 302,182,881,142.51
  5. Step 5: Solve for x
    x = 302,182,881,142.51/509,059.76
  6. Step 6: Final answer
    x = 593,609.84

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1.5x scale

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.