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Finding the Fourth Proportional to 433,285.32, 597,922.53 and 239,688

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Solution

The fourth proportional to 433,285.32, 597,922.53 and 239,688 is: 330,763.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,285.32 : 597,922.53 = 239,688 : x
  2. Step 2: Convert to fraction form
    433,285.32/597,922.53 = 239,688/x
  3. Step 3: Cross multiply
    433,285.32x = 597,922.53 × 239,688
  4. Step 4: Simplify right side
    433,285.32x = 143,314,855,370.64
  5. Step 5: Solve for x
    x = 143,314,855,370.64/433,285.32
  6. Step 6: Final answer
    x = 330,763.24

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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.