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Finding the Fourth Proportional to 686,834.16, 947,798.20 and 380,886.56

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Solution

The fourth proportional to 686,834.16, 947,798.20 and 380,886.56 is: 525,605.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,834.16 : 947,798.20 = 380,886.56 : x
  2. Step 2: Convert to fraction form
    686,834.16/947,798.20 = 380,886.56/x
  3. Step 3: Cross multiply
    686,834.16x = 947,798.20 × 380,886.56
  4. Step 4: Simplify right side
    686,834.16x = 361,003,595,972.19
  5. Step 5: Solve for x
    x = 361,003,595,972.19/686,834.16
  6. Step 6: Final answer
    x = 525,605.19

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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.