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Finding the Fourth Proportional to 384,065.80, 576,098.70 and 361,904.20

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Solution

The fourth proportional to 384,065.80, 576,098.70 and 361,904.20 is: 542,856.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,065.80 : 576,098.70 = 361,904.20 : x
  2. Step 2: Convert to fraction form
    384,065.80/576,098.70 = 361,904.20/x
  3. Step 3: Cross multiply
    384,065.80x = 576,098.70 × 361,904.20
  4. Step 4: Simplify right side
    384,065.80x = 208,492,539,144.54
  5. Step 5: Solve for x
    x = 208,492,539,144.54/384,065.80
  6. Step 6: Final answer
    x = 542,856.30

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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.