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Finding the Fourth Proportional to 469,677.96, 704,478.96 and 132,705

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Solution

The fourth proportional to 469,677.96, 704,478.96 and 132,705 is: 199,046.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,677.96 : 704,478.96 = 132,705 : x
  2. Step 2: Convert to fraction form
    469,677.96/704,478.96 = 132,705/x
  3. Step 3: Cross multiply
    469,677.96x = 704,478.96 × 132,705
  4. Step 4: Simplify right side
    469,677.96x = 93,487,880,386.80
  5. Step 5: Solve for x
    x = 93,487,880,386.80/469,677.96
  6. Step 6: Final answer
    x = 199,046.77

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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.