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Finding the Fourth Proportional to 493,592.59, 740,468.45 and 152,035.86

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Solution

The fourth proportional to 493,592.59, 740,468.45 and 152,035.86 is: 228,078.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,592.59 : 740,468.45 = 152,035.86 : x
  2. Step 2: Convert to fraction form
    493,592.59/740,468.45 = 152,035.86/x
  3. Step 3: Cross multiply
    493,592.59x = 740,468.45 × 152,035.86
  4. Step 4: Simplify right side
    493,592.59x = 112,577,756,755.74
  5. Step 5: Solve for x
    x = 112,577,756,755.74/493,592.59
  6. Step 6: Final answer
    x = 228,078.29

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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.