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Finding the Fourth Proportional to 601,862.47, 902,228.56 and 202,223.77

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Solution

The fourth proportional to 601,862.47, 902,228.56 and 202,223.77 is: 303,145.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,862.47 : 902,228.56 = 202,223.77 : x
  2. Step 2: Convert to fraction form
    601,862.47/902,228.56 = 202,223.77/x
  3. Step 3: Cross multiply
    601,862.47x = 902,228.56 × 202,223.77
  4. Step 4: Simplify right side
    601,862.47x = 182,452,058,043.74
  5. Step 5: Solve for x
    x = 182,452,058,043.74/601,862.47
  6. Step 6: Final answer
    x = 303,145.76

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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.