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Finding the Fourth Proportional to 469,314.95, 704,042.68 and 169,865.59

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Solution

The fourth proportional to 469,314.95, 704,042.68 and 169,865.59 is: 254,823.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,314.95 : 704,042.68 = 169,865.59 : x
  2. Step 2: Convert to fraction form
    469,314.95/704,042.68 = 169,865.59/x
  3. Step 3: Cross multiply
    469,314.95x = 704,042.68 × 169,865.59
  4. Step 4: Simplify right side
    469,314.95x = 119,592,624,762.82
  5. Step 5: Solve for x
    x = 119,592,624,762.82/469,314.95
  6. Step 6: Final answer
    x = 254,823.81

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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.