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Finding the Fourth Proportional to 520,069.90, 778,792.65 and 415,093.90

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Solution

The fourth proportional to 520,069.90, 778,792.65 and 415,093.90 is: 621,593.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,069.90 : 778,792.65 = 415,093.90 : x
  2. Step 2: Convert to fraction form
    520,069.90/778,792.65 = 415,093.90/x
  3. Step 3: Cross multiply
    520,069.90x = 778,792.65 × 415,093.90
  4. Step 4: Simplify right side
    520,069.90x = 323,272,078,379.84
  5. Step 5: Solve for x
    x = 323,272,078,379.84/520,069.90
  6. Step 6: Final answer
    x = 621,593.52

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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.