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Finding the Fourth Proportional to 614,135.44, 921,203.16 and 239,896

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Solution

The fourth proportional to 614,135.44, 921,203.16 and 239,896 is: 359,844.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,135.44 : 921,203.16 = 239,896 : x
  2. Step 2: Convert to fraction form
    614,135.44/921,203.16 = 239,896/x
  3. Step 3: Cross multiply
    614,135.44x = 921,203.16 × 239,896
  4. Step 4: Simplify right side
    614,135.44x = 220,992,953,271.36
  5. Step 5: Solve for x
    x = 220,992,953,271.36/614,135.44
  6. Step 6: Final answer
    x = 359,844.00

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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.