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Finding the Fourth Proportional to 493,901.86, 740,980.29 and 152,337.60

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Solution

The fourth proportional to 493,901.86, 740,980.29 and 152,337.60 is: 228,545.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,901.86 : 740,980.29 = 152,337.60 : x
  2. Step 2: Convert to fraction form
    493,901.86/740,980.29 = 152,337.60/x
  3. Step 3: Cross multiply
    493,901.86x = 740,980.29 × 152,337.60
  4. Step 4: Simplify right side
    493,901.86x = 112,879,159,025.90
  5. Step 5: Solve for x
    x = 112,879,159,025.90/493,901.86
  6. Step 6: Final answer
    x = 228,545.73

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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.