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Finding the Fourth Proportional to 384,900.95, 577,154.30 and 205,088.85

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Solution

The fourth proportional to 384,900.95, 577,154.30 and 205,088.85 is: 307,528.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,900.95 : 577,154.30 = 205,088.85 : x
  2. Step 2: Convert to fraction form
    384,900.95/577,154.30 = 205,088.85/x
  3. Step 3: Cross multiply
    384,900.95x = 577,154.30 × 205,088.85
  4. Step 4: Simplify right side
    384,900.95x = 118,367,910,634.11
  5. Step 5: Solve for x
    x = 118,367,910,634.11/384,900.95
  6. Step 6: Final answer
    x = 307,528.24

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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.