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Finding the Fourth Proportional to 355,265.60, 532,207.20 and 214,606.40

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Solution

The fourth proportional to 355,265.60, 532,207.20 and 214,606.40 is: 321,492.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,265.60 : 532,207.20 = 214,606.40 : x
  2. Step 2: Convert to fraction form
    355,265.60/532,207.20 = 214,606.40/x
  3. Step 3: Cross multiply
    355,265.60x = 532,207.20 × 214,606.40
  4. Step 4: Simplify right side
    355,265.60x = 114,215,071,246.08
  5. Step 5: Solve for x
    x = 114,215,071,246.08/355,265.60
  6. Step 6: Final answer
    x = 321,492.06

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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.