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Finding the Fourth Proportional to 402,904.80, 604,357.20 and 166,168.80

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Solution

The fourth proportional to 402,904.80, 604,357.20 and 166,168.80 is: 249,253.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,904.80 : 604,357.20 = 166,168.80 : x
  2. Step 2: Convert to fraction form
    402,904.80/604,357.20 = 166,168.80/x
  3. Step 3: Cross multiply
    402,904.80x = 604,357.20 × 166,168.80
  4. Step 4: Simplify right side
    402,904.80x = 100,425,310,695.36
  5. Step 5: Solve for x
    x = 100,425,310,695.36/402,904.80
  6. Step 6: Final answer
    x = 249,253.20

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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.