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Finding the Fourth Proportional to 452,495.16, 677,709.38 and 216,003.92

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Solution

The fourth proportional to 452,495.16, 677,709.38 and 216,003.92 is: 323,512.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,495.16 : 677,709.38 = 216,003.92 : x
  2. Step 2: Convert to fraction form
    452,495.16/677,709.38 = 216,003.92/x
  3. Step 3: Cross multiply
    452,495.16x = 677,709.38 × 216,003.92
  4. Step 4: Simplify right side
    452,495.16x = 146,387,879,852.23
  5. Step 5: Solve for x
    x = 146,387,879,852.23/452,495.16
  6. Step 6: Final answer
    x = 323,512.59

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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.