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Finding the Fourth Proportional to 520,011.60, 780,103.80 and 204,478.80

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Solution

The fourth proportional to 520,011.60, 780,103.80 and 204,478.80 is: 306,752.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,011.60 : 780,103.80 = 204,478.80 : x
  2. Step 2: Convert to fraction form
    520,011.60/780,103.80 = 204,478.80/x
  3. Step 3: Cross multiply
    520,011.60x = 780,103.80 × 204,478.80
  4. Step 4: Simplify right side
    520,011.60x = 159,514,688,899.44
  5. Step 5: Solve for x
    x = 159,514,688,899.44/520,011.60
  6. Step 6: Final answer
    x = 306,752.17

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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.