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Finding the Fourth Proportional to 686,716.88, 947,671.40 and 380,814.80

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Solution

The fourth proportional to 686,716.88, 947,671.40 and 380,814.80 is: 525,525.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,716.88 : 947,671.40 = 380,814.80 : x
  2. Step 2: Convert to fraction form
    686,716.88/947,671.40 = 380,814.80/x
  3. Step 3: Cross multiply
    686,716.88x = 947,671.40 × 380,814.80
  4. Step 4: Simplify right side
    686,716.88x = 360,887,294,656.72
  5. Step 5: Solve for x
    x = 360,887,294,656.72/686,716.88
  6. Step 6: Final answer
    x = 525,525.59

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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.