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Finding the Fourth Proportional to 329,719.65, 493,804.41 and 160,710.31

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Solution

The fourth proportional to 329,719.65, 493,804.41 and 160,710.31 is: 240,687.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,719.65 : 493,804.41 = 160,710.31 : x
  2. Step 2: Convert to fraction form
    329,719.65/493,804.41 = 160,710.31/x
  3. Step 3: Cross multiply
    329,719.65x = 493,804.41 × 160,710.31
  4. Step 4: Simplify right side
    329,719.65x = 79,359,459,810.47
  5. Step 5: Solve for x
    x = 79,359,459,810.47/329,719.65
  6. Step 6: Final answer
    x = 240,687.69

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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.