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Finding the Fourth Proportional to 419,033.72, 578,279.66 and 237,753.29

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Solution

The fourth proportional to 419,033.72, 578,279.66 and 237,753.29 is: 328,106.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,033.72 : 578,279.66 = 237,753.29 : x
  2. Step 2: Convert to fraction form
    419,033.72/578,279.66 = 237,753.29/x
  3. Step 3: Cross multiply
    419,033.72x = 578,279.66 × 237,753.29
  4. Step 4: Simplify right side
    419,033.72x = 137,487,891,962.01
  5. Step 5: Solve for x
    x = 137,487,891,962.01/419,033.72
  6. Step 6: Final answer
    x = 328,106.99

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.