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Finding the Fourth Proportional to 452,492.85, 677,705.92 and 216,001.61

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Solution

The fourth proportional to 452,492.85, 677,705.92 and 216,001.61 is: 323,509.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,492.85 : 677,705.92 = 216,001.61 : x
  2. Step 2: Convert to fraction form
    452,492.85/677,705.92 = 216,001.61/x
  3. Step 3: Cross multiply
    452,492.85x = 677,705.92 × 216,001.61
  4. Step 4: Simplify right side
    452,492.85x = 146,385,565,357.99
  5. Step 5: Solve for x
    x = 146,385,565,357.99/452,492.85
  6. Step 6: Final answer
    x = 323,509.12

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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.