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Finding the Fourth Proportional to 461,881.14, 692,813.50 and 146,329.84

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Solution

The fourth proportional to 461,881.14, 692,813.50 and 146,329.84 is: 219,492.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,881.14 : 692,813.50 = 146,329.84 : x
  2. Step 2: Convert to fraction form
    461,881.14/692,813.50 = 146,329.84/x
  3. Step 3: Cross multiply
    461,881.14x = 692,813.50 × 146,329.84
  4. Step 4: Simplify right side
    461,881.14x = 101,379,288,604.84
  5. Step 5: Solve for x
    x = 101,379,288,604.84/461,881.14
  6. Step 6: Final answer
    x = 219,492.16

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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.