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Finding the Fourth Proportional to 354,322.40, 531,483.60 and 205,023.20

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Solution

The fourth proportional to 354,322.40, 531,483.60 and 205,023.20 is: 307,534.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,322.40 : 531,483.60 = 205,023.20 : x
  2. Step 2: Convert to fraction form
    354,322.40/531,483.60 = 205,023.20/x
  3. Step 3: Cross multiply
    354,322.40x = 531,483.60 × 205,023.20
  4. Step 4: Simplify right side
    354,322.40x = 108,966,468,419.52
  5. Step 5: Solve for x
    x = 108,966,468,419.52/354,322.40
  6. Step 6: Final answer
    x = 307,534.80

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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.