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Finding the Fourth Proportional to 520,098.20, 780,147.30 and 459,963.80

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Solution

The fourth proportional to 520,098.20, 780,147.30 and 459,963.80 is: 689,945.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,098.20 : 780,147.30 = 459,963.80 : x
  2. Step 2: Convert to fraction form
    520,098.20/780,147.30 = 459,963.80/x
  3. Step 3: Cross multiply
    520,098.20x = 780,147.30 × 459,963.80
  4. Step 4: Simplify right side
    520,098.20x = 358,839,516,667.74
  5. Step 5: Solve for x
    x = 358,839,516,667.74/520,098.20
  6. Step 6: Final answer
    x = 689,945.70

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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.