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Finding the Fourth Proportional to 601,804.08, 902,697.01 and 146,398.69

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Solution

The fourth proportional to 601,804.08, 902,697.01 and 146,398.69 is: 219,595.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,804.08 : 902,697.01 = 146,398.69 : x
  2. Step 2: Convert to fraction form
    601,804.08/902,697.01 = 146,398.69/x
  3. Step 3: Cross multiply
    601,804.08x = 902,697.01 × 146,398.69
  4. Step 4: Simplify right side
    601,804.08x = 132,153,660,493.29
  5. Step 5: Solve for x
    x = 132,153,660,493.29/601,804.08
  6. Step 6: Final answer
    x = 219,595.82

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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.