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Finding the Fourth Proportional to 469,912.86, 704,866.05 and 114,931.98

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Solution

The fourth proportional to 469,912.86, 704,866.05 and 114,931.98 is: 172,397.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,912.86 : 704,866.05 = 114,931.98 : x
  2. Step 2: Convert to fraction form
    469,912.86/704,866.05 = 114,931.98/x
  3. Step 3: Cross multiply
    469,912.86x = 704,866.05 × 114,931.98
  4. Step 4: Simplify right side
    469,912.86x = 81,011,650,761.28
  5. Step 5: Solve for x
    x = 81,011,650,761.28/469,912.86
  6. Step 6: Final answer
    x = 172,397.18

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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.