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Finding the Fourth Proportional to 520,103.20, 780,154.80 and 459,968.80

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Solution

The fourth proportional to 520,103.20, 780,154.80 and 459,968.80 is: 689,953.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,103.20 : 780,154.80 = 459,968.80 : x
  2. Step 2: Convert to fraction form
    520,103.20/780,154.80 = 459,968.80/x
  3. Step 3: Cross multiply
    520,103.20x = 780,154.80 × 459,968.80
  4. Step 4: Simplify right side
    520,103.20x = 358,846,867,170.24
  5. Step 5: Solve for x
    x = 358,846,867,170.24/520,103.20
  6. Step 6: Final answer
    x = 689,953.20

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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.