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Finding the Fourth Proportional to 578,052.80, 867,079.20 and 410,091.20

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Solution

The fourth proportional to 578,052.80, 867,079.20 and 410,091.20 is: 615,136.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,052.80 : 867,079.20 = 410,091.20 : x
  2. Step 2: Convert to fraction form
    578,052.80/867,079.20 = 410,091.20/x
  3. Step 3: Cross multiply
    578,052.80x = 867,079.20 × 410,091.20
  4. Step 4: Simplify right side
    578,052.80x = 355,581,549,623.04
  5. Step 5: Solve for x
    x = 355,581,549,623.04/578,052.80
  6. Step 6: Final answer
    x = 615,136.80

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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.