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Finding the Fourth Proportional to 561,462.94, 841,944.16 and 162,008.83

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Solution

The fourth proportional to 561,462.94, 841,944.16 and 162,008.83 is: 242,941.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,462.94 : 841,944.16 = 162,008.83 : x
  2. Step 2: Convert to fraction form
    561,462.94/841,944.16 = 162,008.83/x
  3. Step 3: Cross multiply
    561,462.94x = 841,944.16 × 162,008.83
  4. Step 4: Simplify right side
    561,462.94x = 136,402,388,286.93
  5. Step 5: Solve for x
    x = 136,402,388,286.93/561,462.94
  6. Step 6: Final answer
    x = 242,941.04

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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.