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Finding the Fourth Proportional to 357,893.74, 536,446.94 and 147,416.86

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Solution

The fourth proportional to 357,893.74, 536,446.94 and 147,416.86 is: 220,963.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,893.74 : 536,446.94 = 147,416.86 : x
  2. Step 2: Convert to fraction form
    357,893.74/536,446.94 = 147,416.86/x
  3. Step 3: Cross multiply
    357,893.74x = 536,446.94 × 147,416.86
  4. Step 4: Simplify right side
    357,893.74x = 79,081,323,451.41
  5. Step 5: Solve for x
    x = 79,081,323,451.41/357,893.74
  6. Step 6: Final answer
    x = 220,963.14

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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.