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Finding the Fourth Proportional to 595,766.90, 822,346.40 and 380,907.82

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Solution

The fourth proportional to 595,766.90, 822,346.40 and 380,907.82 is: 525,773.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,766.90 : 822,346.40 = 380,907.82 : x
  2. Step 2: Convert to fraction form
    595,766.90/822,346.40 = 380,907.82/x
  3. Step 3: Cross multiply
    595,766.90x = 822,346.40 × 380,907.82
  4. Step 4: Simplify right side
    595,766.90x = 313,238,170,792.05
  5. Step 5: Solve for x
    x = 313,238,170,792.05/595,766.90
  6. Step 6: Final answer
    x = 525,773.04

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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.