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Finding the Fourth Proportional to 475,436.98, 656,006.07 and 281,759.32

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Solution

The fourth proportional to 475,436.98, 656,006.07 and 281,759.32 is: 388,770.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,436.98 : 656,006.07 = 281,759.32 : x
  2. Step 2: Convert to fraction form
    475,436.98/656,006.07 = 281,759.32/x
  3. Step 3: Cross multiply
    475,436.98x = 656,006.07 × 281,759.32
  4. Step 4: Simplify right side
    475,436.98x = 184,835,824,199.07
  5. Step 5: Solve for x
    x = 184,835,824,199.07/475,436.98
  6. Step 6: Final answer
    x = 388,770.40

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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.