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Finding the Fourth Proportional to 459,871.53, 689,610.41 and 160,263.46

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Solution

The fourth proportional to 459,871.53, 689,610.41 and 160,263.46 is: 240,326.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,871.53 : 689,610.41 = 160,263.46 : x
  2. Step 2: Convert to fraction form
    459,871.53/689,610.41 = 160,263.46/x
  3. Step 3: Cross multiply
    459,871.53x = 689,610.41 × 160,263.46
  4. Step 4: Simplify right side
    459,871.53x = 110,519,351,020.30
  5. Step 5: Solve for x
    x = 110,519,351,020.30/459,871.53
  6. Step 6: Final answer
    x = 240,326.58

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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.