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Finding the Fourth Proportional to 576,314.80, 864,404.16 and 155,623.48

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Solution

The fourth proportional to 576,314.80, 864,404.16 and 155,623.48 is: 233,416.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,314.80 : 864,404.16 = 155,623.48 : x
  2. Step 2: Convert to fraction form
    576,314.80/864,404.16 = 155,623.48/x
  3. Step 3: Cross multiply
    576,314.80x = 864,404.16 × 155,623.48
  4. Step 4: Simplify right side
    576,314.80x = 134,521,583,505.68
  5. Step 5: Solve for x
    x = 134,521,583,505.68/576,314.80
  6. Step 6: Final answer
    x = 233,416.85

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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.