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Finding the Fourth Proportional to 304,051.60, 456,077.40 and 146,198.80

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Solution

The fourth proportional to 304,051.60, 456,077.40 and 146,198.80 is: 219,298.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,051.60 : 456,077.40 = 146,198.80 : x
  2. Step 2: Convert to fraction form
    304,051.60/456,077.40 = 146,198.80/x
  3. Step 3: Cross multiply
    304,051.60x = 456,077.40 × 146,198.80
  4. Step 4: Simplify right side
    304,051.60x = 66,677,968,587.12
  5. Step 5: Solve for x
    x = 66,677,968,587.12/304,051.60
  6. Step 6: Final answer
    x = 219,298.20

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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.