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Finding the Fourth Proportional to 514,117.20, 770,254.20 and 440,389.20

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Solution

The fourth proportional to 514,117.20, 770,254.20 and 440,389.20 is: 659,794.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,117.20 : 770,254.20 = 440,389.20 : x
  2. Step 2: Convert to fraction form
    514,117.20/770,254.20 = 440,389.20/x
  3. Step 3: Cross multiply
    514,117.20x = 770,254.20 × 440,389.20
  4. Step 4: Simplify right side
    514,117.20x = 339,211,630,934.64
  5. Step 5: Solve for x
    x = 339,211,630,934.64/514,117.20
  6. Step 6: Final answer
    x = 659,794.36

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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.