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Finding the Fourth Proportional to 601,478.71, 902,419.47 and 196,689.58

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Solution

The fourth proportional to 601,478.71, 902,419.47 and 196,689.58 is: 295,100.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,478.71 : 902,419.47 = 196,689.58 : x
  2. Step 2: Convert to fraction form
    601,478.71/902,419.47 = 196,689.58/x
  3. Step 3: Cross multiply
    601,478.71x = 902,419.47 × 196,689.58
  4. Step 4: Simplify right side
    601,478.71x = 177,496,506,538.12
  5. Step 5: Solve for x
    x = 177,496,506,538.12/601,478.71
  6. Step 6: Final answer
    x = 295,100.23

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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.