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Finding the Fourth Proportional to 686,537.45, 947,477.83 and 380,709.77

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Solution

The fourth proportional to 686,537.45, 947,477.83 and 380,709.77 is: 525,410.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,537.45 : 947,477.83 = 380,709.77 : x
  2. Step 2: Convert to fraction form
    686,537.45/947,477.83 = 380,709.77/x
  3. Step 3: Cross multiply
    686,537.45x = 947,477.83 × 380,709.77
  4. Step 4: Simplify right side
    686,537.45x = 360,714,063,662.24
  5. Step 5: Solve for x
    x = 360,714,063,662.24/686,537.45
  6. Step 6: Final answer
    x = 525,410.61

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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.