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Finding the Fourth Proportional to 500,084.64, 750,438 and 364,911.84

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Solution

The fourth proportional to 500,084.64, 750,438 and 364,911.84 is: 547,594.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,084.64 : 750,438 = 364,911.84 : x
  2. Step 2: Convert to fraction form
    500,084.64/750,438 = 364,911.84/x
  3. Step 3: Cross multiply
    500,084.64x = 750,438 × 364,911.84
  4. Step 4: Simplify right side
    500,084.64x = 273,843,711,385.92
  5. Step 5: Solve for x
    x = 273,843,711,385.92/500,084.64
  6. Step 6: Final answer
    x = 547,594.73

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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.