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Finding the Fourth Proportional to 520,024.70, 780,109.95 and 204,408.20

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Solution

The fourth proportional to 520,024.70, 780,109.95 and 204,408.20 is: 306,640.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,024.70 : 780,109.95 = 204,408.20 : x
  2. Step 2: Convert to fraction form
    520,024.70/780,109.95 = 204,408.20/x
  3. Step 3: Cross multiply
    520,024.70x = 780,109.95 × 204,408.20
  4. Step 4: Simplify right side
    520,024.70x = 159,460,870,681.59
  5. Step 5: Solve for x
    x = 159,460,870,681.59/520,024.70
  6. Step 6: Final answer
    x = 306,640.96

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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.