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Finding the Fourth Proportional to 355,384.60, 532,817.70 and 144,914.20

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Solution

The fourth proportional to 355,384.60, 532,817.70 and 144,914.20 is: 217,265.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,384.60 : 532,817.70 = 144,914.20 : x
  2. Step 2: Convert to fraction form
    355,384.60/532,817.70 = 144,914.20/x
  3. Step 3: Cross multiply
    355,384.60x = 532,817.70 × 144,914.20
  4. Step 4: Simplify right side
    355,384.60x = 77,212,850,741.34
  5. Step 5: Solve for x
    x = 77,212,850,741.34/355,384.60
  6. Step 6: Final answer
    x = 217,265.61

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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.