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Finding the Fourth Proportional to 493,678.34, 740,543.15 and 156,745.37

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Solution

The fourth proportional to 493,678.34, 740,543.15 and 156,745.37 is: 235,126.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,678.34 : 740,543.15 = 156,745.37 : x
  2. Step 2: Convert to fraction form
    493,678.34/740,543.15 = 156,745.37/x
  3. Step 3: Cross multiply
    493,678.34x = 740,543.15 × 156,745.37
  4. Step 4: Simplify right side
    493,678.34x = 116,076,705,981.88
  5. Step 5: Solve for x
    x = 116,076,705,981.88/493,678.34
  6. Step 6: Final answer
    x = 235,126.19

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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.