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Finding the Fourth Proportional to 686,886.39, 947,856 and 380,934.06

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Solution

The fourth proportional to 686,886.39, 947,856 and 380,934.06 is: 525,662.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,886.39 : 947,856 = 380,934.06 : x
  2. Step 2: Convert to fraction form
    686,886.39/947,856 = 380,934.06/x
  3. Step 3: Cross multiply
    686,886.39x = 947,856 × 380,934.06
  4. Step 4: Simplify right side
    686,886.39x = 361,070,634,375.36
  5. Step 5: Solve for x
    x = 361,070,634,375.36/686,886.39
  6. Step 6: Final answer
    x = 525,662.82

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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.