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Finding the Fourth Proportional to 686,528.64, 947,465.42 and 380,700.88

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Solution

The fourth proportional to 686,528.64, 947,465.42 and 380,700.88 is: 525,398.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,528.64 : 947,465.42 = 380,700.88 : x
  2. Step 2: Convert to fraction form
    686,528.64/947,465.42 = 380,700.88/x
  3. Step 3: Cross multiply
    686,528.64x = 947,465.42 × 380,700.88
  4. Step 4: Simplify right side
    686,528.64x = 360,700,914,891.40
  5. Step 5: Solve for x
    x = 360,700,914,891.40/686,528.64
  6. Step 6: Final answer
    x = 525,398.20

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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.