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Finding the Fourth Proportional to 516,705.76, 774,907.98 and 201,087.64

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Solution

The fourth proportional to 516,705.76, 774,907.98 and 201,087.64 is: 301,572.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,705.76 : 774,907.98 = 201,087.64 : x
  2. Step 2: Convert to fraction form
    516,705.76/774,907.98 = 201,087.64/x
  3. Step 3: Cross multiply
    516,705.76x = 774,907.98 × 201,087.64
  4. Step 4: Simplify right side
    516,705.76x = 155,824,416,915.37
  5. Step 5: Solve for x
    x = 155,824,416,915.37/516,705.76
  6. Step 6: Final answer
    x = 301,572.83

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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.