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Finding the Fourth Proportional to 601,574.40, 902,417.28 and 196,768.91

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Solution

The fourth proportional to 601,574.40, 902,417.28 and 196,768.91 is: 295,171.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,574.40 : 902,417.28 = 196,768.91 : x
  2. Step 2: Convert to fraction form
    601,574.40/902,417.28 = 196,768.91/x
  3. Step 3: Cross multiply
    601,574.40x = 902,417.28 × 196,768.91
  4. Step 4: Simplify right side
    601,574.40x = 177,567,664,550.77
  5. Step 5: Solve for x
    x = 177,567,664,550.77/601,574.40
  6. Step 6: Final answer
    x = 295,171.58

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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.