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Finding the Fourth Proportional to 530,692.32, 796,065.84 and 151,583.16

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Solution

The fourth proportional to 530,692.32, 796,065.84 and 151,583.16 is: 227,382.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,692.32 : 796,065.84 = 151,583.16 : x
  2. Step 2: Convert to fraction form
    530,692.32/796,065.84 = 151,583.16/x
  3. Step 3: Cross multiply
    530,692.32x = 796,065.84 × 151,583.16
  4. Step 4: Simplify right side
    530,692.32x = 120,670,175,595.25
  5. Step 5: Solve for x
    x = 120,670,175,595.25/530,692.32
  6. Step 6: Final answer
    x = 227,382.55

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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.