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Finding the Fourth Proportional to 402,922.60, 604,602.60 and 166,289.20

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Solution

The fourth proportional to 402,922.60, 604,602.60 and 166,289.20 is: 249,524.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,922.60 : 604,602.60 = 166,289.20 : x
  2. Step 2: Convert to fraction form
    402,922.60/604,602.60 = 166,289.20/x
  3. Step 3: Cross multiply
    402,922.60x = 604,602.60 × 166,289.20
  4. Step 4: Simplify right side
    402,922.60x = 100,538,882,671.92
  5. Step 5: Solve for x
    x = 100,538,882,671.92/402,922.60
  6. Step 6: Final answer
    x = 249,524.06

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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.