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Finding the Fourth Proportional to 355,409.60, 532,336.80 and 214,923.20

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Solution

The fourth proportional to 355,409.60, 532,336.80 and 214,923.20 is: 321,914.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,409.60 : 532,336.80 = 214,923.20 : x
  2. Step 2: Convert to fraction form
    355,409.60/532,336.80 = 214,923.20/x
  3. Step 3: Cross multiply
    355,409.60x = 532,336.80 × 214,923.20
  4. Step 4: Simplify right side
    355,409.60x = 114,411,528,533.76
  5. Step 5: Solve for x
    x = 114,411,528,533.76/355,409.60
  6. Step 6: Final answer
    x = 321,914.57

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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.