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Finding the Fourth Proportional to 686,496.64, 947,277.66 and 380,570.14

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Solution

The fourth proportional to 686,496.64, 947,277.66 and 380,570.14 is: 525,138.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,496.64 : 947,277.66 = 380,570.14 : x
  2. Step 2: Convert to fraction form
    686,496.64/947,277.66 = 380,570.14/x
  3. Step 3: Cross multiply
    686,496.64x = 947,277.66 × 380,570.14
  4. Step 4: Simplify right side
    686,496.64x = 360,505,591,685.07
  5. Step 5: Solve for x
    x = 360,505,591,685.07/686,496.64
  6. Step 6: Final answer
    x = 525,138.17

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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.