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Finding the Fourth Proportional to 493,875.06, 740,735.34 and 156,871.38

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Solution

The fourth proportional to 493,875.06, 740,735.34 and 156,871.38 is: 235,282.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,875.06 : 740,735.34 = 156,871.38 : x
  2. Step 2: Convert to fraction form
    493,875.06/740,735.34 = 156,871.38/x
  3. Step 3: Cross multiply
    493,875.06x = 740,735.34 × 156,871.38
  4. Step 4: Simplify right side
    493,875.06x = 116,200,175,000.57
  5. Step 5: Solve for x
    x = 116,200,175,000.57/493,875.06
  6. Step 6: Final answer
    x = 235,282.53

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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.