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Finding the Fourth Proportional to 613,881.40, 847,286.96 and 412,560.76

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Solution

The fourth proportional to 613,881.40, 847,286.96 and 412,560.76 is: 569,421.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,881.40 : 847,286.96 = 412,560.76 : x
  2. Step 2: Convert to fraction form
    613,881.40/847,286.96 = 412,560.76/x
  3. Step 3: Cross multiply
    613,881.40x = 847,286.96 × 412,560.76
  4. Step 4: Simplify right side
    613,881.40x = 349,557,352,155.69
  5. Step 5: Solve for x
    x = 349,557,352,155.69/613,881.40
  6. Step 6: Final answer
    x = 569,421.64

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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.