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Finding the Fourth Proportional to 526,397.49, 789,907.28 and 194,206.77

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Solution

The fourth proportional to 526,397.49, 789,907.28 and 194,206.77 is: 291,424.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,397.49 : 789,907.28 = 194,206.77 : x
  2. Step 2: Convert to fraction form
    526,397.49/789,907.28 = 194,206.77/x
  3. Step 3: Cross multiply
    526,397.49x = 789,907.28 × 194,206.77
  4. Step 4: Simplify right side
    526,397.49x = 153,405,340,477.25
  5. Step 5: Solve for x
    x = 153,405,340,477.25/526,397.49
  6. Step 6: Final answer
    x = 291,424.91

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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.