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Finding the Fourth Proportional to 771,012.80, 1,156,000.80 and 411,243.20

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Solution

The fourth proportional to 771,012.80, 1,156,000.80 and 411,243.20 is: 616,588.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,012.80 : 1,156,000.80 = 411,243.20 : x
  2. Step 2: Convert to fraction form
    771,012.80/1,156,000.80 = 411,243.20/x
  3. Step 3: Cross multiply
    771,012.80x = 1,156,000.80 × 411,243.20
  4. Step 4: Simplify right side
    771,012.80x = 475,397,468,194.56
  5. Step 5: Solve for x
    x = 475,397,468,194.56/771,012.80
  6. Step 6: Final answer
    x = 616,588.30

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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.