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Finding the Fourth Proportional to 355,205.60, 532,117.20 and 214,546.40

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Solution

The fourth proportional to 355,205.60, 532,117.20 and 214,546.40 is: 321,402.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,205.60 : 532,117.20 = 214,546.40 : x
  2. Step 2: Convert to fraction form
    355,205.60/532,117.20 = 214,546.40/x
  3. Step 3: Cross multiply
    355,205.60x = 532,117.20 × 214,546.40
  4. Step 4: Simplify right side
    355,205.60x = 114,163,829,638.08
  5. Step 5: Solve for x
    x = 114,163,829,638.08/355,205.60
  6. Step 6: Final answer
    x = 321,402.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.