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Finding the Fourth Proportional to 477,160.20, 715,740.30 and 264,583.80

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Solution

The fourth proportional to 477,160.20, 715,740.30 and 264,583.80 is: 396,875.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,160.20 : 715,740.30 = 264,583.80 : x
  2. Step 2: Convert to fraction form
    477,160.20/715,740.30 = 264,583.80/x
  3. Step 3: Cross multiply
    477,160.20x = 715,740.30 × 264,583.80
  4. Step 4: Simplify right side
    477,160.20x = 189,373,288,387.14
  5. Step 5: Solve for x
    x = 189,373,288,387.14/477,160.20
  6. Step 6: Final answer
    x = 396,875.70

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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.