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Finding the Fourth Proportional to 601,477.71, 902,417.97 and 196,688.58

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Solution

The fourth proportional to 601,477.71, 902,417.97 and 196,688.58 is: 295,098.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,477.71 : 902,417.97 = 196,688.58 : x
  2. Step 2: Convert to fraction form
    601,477.71/902,417.97 = 196,688.58/x
  3. Step 3: Cross multiply
    601,477.71x = 902,417.97 × 196,688.58
  4. Step 4: Simplify right side
    601,477.71x = 177,495,309,085.78
  5. Step 5: Solve for x
    x = 177,495,309,085.78/601,477.71
  6. Step 6: Final answer
    x = 295,098.73

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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.