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Finding the Fourth Proportional to 384,148.80, 576,223.20 and 364,465.80

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Solution

The fourth proportional to 384,148.80, 576,223.20 and 364,465.80 is: 546,698.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,148.80 : 576,223.20 = 364,465.80 : x
  2. Step 2: Convert to fraction form
    384,148.80/576,223.20 = 364,465.80/x
  3. Step 3: Cross multiply
    384,148.80x = 576,223.20 × 364,465.80
  4. Step 4: Simplify right side
    384,148.80x = 210,013,649,566.56
  5. Step 5: Solve for x
    x = 210,013,649,566.56/384,148.80
  6. Step 6: Final answer
    x = 546,698.70

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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.