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Finding the Fourth Proportional to 469,861.77, 704,792.65 and 114,871.57

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Solution

The fourth proportional to 469,861.77, 704,792.65 and 114,871.57 is: 172,307.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,861.77 : 704,792.65 = 114,871.57 : x
  2. Step 2: Convert to fraction form
    469,861.77/704,792.65 = 114,871.57/x
  3. Step 3: Cross multiply
    469,861.77x = 704,792.65 × 114,871.57
  4. Step 4: Simplify right side
    469,861.77x = 80,960,637,942.78
  5. Step 5: Solve for x
    x = 80,960,637,942.78/469,861.77
  6. Step 6: Final answer
    x = 172,307.36

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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.