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Finding the Fourth Proportional to 507,175.12, 760,904.84 and 203,782.32

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Solution

The fourth proportional to 507,175.12, 760,904.84 and 203,782.32 is: 305,730.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,175.12 : 760,904.84 = 203,782.32 : x
  2. Step 2: Convert to fraction form
    507,175.12/760,904.84 = 203,782.32/x
  3. Step 3: Cross multiply
    507,175.12x = 760,904.84 × 203,782.32
  4. Step 4: Simplify right side
    507,175.12x = 155,058,953,594.43
  5. Step 5: Solve for x
    x = 155,058,953,594.43/507,175.12
  6. Step 6: Final answer
    x = 305,730.60

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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.