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Finding the Fourth Proportional to 462,233.64, 693,051.24 and 303,982.32

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Solution

The fourth proportional to 462,233.64, 693,051.24 and 303,982.32 is: 455,776.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,233.64 : 693,051.24 = 303,982.32 : x
  2. Step 2: Convert to fraction form
    462,233.64/693,051.24 = 303,982.32/x
  3. Step 3: Cross multiply
    462,233.64x = 693,051.24 × 303,982.32
  4. Step 4: Simplify right side
    462,233.64x = 210,675,323,814.08
  5. Step 5: Solve for x
    x = 210,675,323,814.08/462,233.64
  6. Step 6: Final answer
    x = 455,776.70

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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.