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Finding the Fourth Proportional to 601,984.68, 902,967.84 and 146,580.20

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Solution

The fourth proportional to 601,984.68, 902,967.84 and 146,580.20 is: 219,868.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,984.68 : 902,967.84 = 146,580.20 : x
  2. Step 2: Convert to fraction form
    601,984.68/902,967.84 = 146,580.20/x
  3. Step 3: Cross multiply
    601,984.68x = 902,967.84 × 146,580.20
  4. Step 4: Simplify right side
    601,984.68x = 132,357,206,580.77
  5. Step 5: Solve for x
    x = 132,357,206,580.77/601,984.68
  6. Step 6: Final answer
    x = 219,868.06

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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.