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Finding the Fourth Proportional to 338,212.16, 507,396 and 101,559.32

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Solution

The fourth proportional to 338,212.16, 507,396 and 101,559.32 is: 152,362.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,212.16 : 507,396 = 101,559.32 : x
  2. Step 2: Convert to fraction form
    338,212.16/507,396 = 101,559.32/x
  3. Step 3: Cross multiply
    338,212.16x = 507,396 × 101,559.32
  4. Step 4: Simplify right side
    338,212.16x = 51,530,790,193.74
  5. Step 5: Solve for x
    x = 51,530,790,193.74/338,212.16
  6. Step 6: Final answer
    x = 152,362.32

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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.