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Finding the Fourth Proportional to 354,698.10, 531,172.35 and 235,725.30

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Solution

The fourth proportional to 354,698.10, 531,172.35 and 235,725.30 is: 353,006.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,698.10 : 531,172.35 = 235,725.30 : x
  2. Step 2: Convert to fraction form
    354,698.10/531,172.35 = 235,725.30/x
  3. Step 3: Cross multiply
    354,698.10x = 531,172.35 × 235,725.30
  4. Step 4: Simplify right side
    354,698.10x = 125,210,761,555.46
  5. Step 5: Solve for x
    x = 125,210,761,555.46/354,698.10
  6. Step 6: Final answer
    x = 353,006.58

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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.