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Finding the Fourth Proportional to 514,277.40, 770,103.90 and 409,301.40

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Solution

The fourth proportional to 514,277.40, 770,103.90 and 409,301.40 is: 612,907.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,277.40 : 770,103.90 = 409,301.40 : x
  2. Step 2: Convert to fraction form
    514,277.40/770,103.90 = 409,301.40/x
  3. Step 3: Cross multiply
    514,277.40x = 770,103.90 × 409,301.40
  4. Step 4: Simplify right side
    514,277.40x = 315,204,604,415.46
  5. Step 5: Solve for x
    x = 315,204,604,415.46/514,277.40
  6. Step 6: Final answer
    x = 612,907.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.