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Finding the Fourth Proportional to 459,796.16, 689,758.95 and 160,233.68

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Solution

The fourth proportional to 459,796.16, 689,758.95 and 160,233.68 is: 240,373.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,796.16 : 689,758.95 = 160,233.68 : x
  2. Step 2: Convert to fraction form
    459,796.16/689,758.95 = 160,233.68/x
  3. Step 3: Cross multiply
    459,796.16x = 689,758.95 × 160,233.68
  4. Step 4: Simplify right side
    459,796.16x = 110,522,614,871.44
  5. Step 5: Solve for x
    x = 110,522,614,871.44/459,796.16
  6. Step 6: Final answer
    x = 240,373.07

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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.