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Finding the Fourth Proportional to 354,925.80, 532,388.70 and 214,957.80

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Solution

The fourth proportional to 354,925.80, 532,388.70 and 214,957.80 is: 322,436.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,925.80 : 532,388.70 = 214,957.80 : x
  2. Step 2: Convert to fraction form
    354,925.80/532,388.70 = 214,957.80/x
  3. Step 3: Cross multiply
    354,925.80x = 532,388.70 × 214,957.80
  4. Step 4: Simplify right side
    354,925.80x = 114,441,103,696.86
  5. Step 5: Solve for x
    x = 114,441,103,696.86/354,925.80
  6. Step 6: Final answer
    x = 322,436.70

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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.