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Finding the Fourth Proportional to 686,549.40, 947,468.14 and 380,606.33

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Solution

The fourth proportional to 686,549.40, 947,468.14 and 380,606.33 is: 525,253.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,549.40 : 947,468.14 = 380,606.33 : x
  2. Step 2: Convert to fraction form
    686,549.40/947,468.14 = 380,606.33/x
  3. Step 3: Cross multiply
    686,549.40x = 947,468.14 × 380,606.33
  4. Step 4: Simplify right side
    686,549.40x = 360,612,367,644.97
  5. Step 5: Solve for x
    x = 360,612,367,644.97/686,549.40
  6. Step 6: Final answer
    x = 525,253.34

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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.