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Finding the Fourth Proportional to 496,239.64, 684,656.22 and 281,362.84

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Solution

The fourth proportional to 496,239.64, 684,656.22 and 281,362.84 is: 388,193.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,239.64 : 684,656.22 = 281,362.84 : x
  2. Step 2: Convert to fraction form
    496,239.64/684,656.22 = 281,362.84/x
  3. Step 3: Cross multiply
    496,239.64x = 684,656.22 × 281,362.84
  4. Step 4: Simplify right side
    496,239.64x = 192,636,818,482.87
  5. Step 5: Solve for x
    x = 192,636,818,482.87/496,239.64
  6. Step 6: Final answer
    x = 388,193.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.