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Finding the Fourth Proportional to 518,438.34, 715,645.53 and 405,297.54

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Solution

The fourth proportional to 518,438.34, 715,645.53 and 405,297.54 is: 559,467.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,438.34 : 715,645.53 = 405,297.54 : x
  2. Step 2: Convert to fraction form
    518,438.34/715,645.53 = 405,297.54/x
  3. Step 3: Cross multiply
    518,438.34x = 715,645.53 × 405,297.54
  4. Step 4: Simplify right side
    518,438.34x = 290,049,372,821.00
  5. Step 5: Solve for x
    x = 290,049,372,821.00/518,438.34
  6. Step 6: Final answer
    x = 559,467.44

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1.5x scale

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.