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Finding the Fourth Proportional to 686,166.73, 946,946.50 and 380,276.51

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Solution

The fourth proportional to 686,166.73, 946,946.50 and 380,276.51 is: 524,801.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,166.73 : 946,946.50 = 380,276.51 : x
  2. Step 2: Convert to fraction form
    686,166.73/946,946.50 = 380,276.51/x
  3. Step 3: Cross multiply
    686,166.73x = 946,946.50 × 380,276.51
  4. Step 4: Simplify right side
    686,166.73x = 360,101,504,491.29
  5. Step 5: Solve for x
    x = 360,101,504,491.29/686,166.73
  6. Step 6: Final answer
    x = 524,801.76

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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.