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Finding the Fourth Proportional to 615,444.80, 923,296.80 and 194,763.20

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Solution

The fourth proportional to 615,444.80, 923,296.80 and 194,763.20 is: 292,185.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,444.80 : 923,296.80 = 194,763.20 : x
  2. Step 2: Convert to fraction form
    615,444.80/923,296.80 = 194,763.20/x
  3. Step 3: Cross multiply
    615,444.80x = 923,296.80 × 194,763.20
  4. Step 4: Simplify right side
    615,444.80x = 179,824,239,317.76
  5. Step 5: Solve for x
    x = 179,824,239,317.76/615,444.80
  6. Step 6: Final answer
    x = 292,185.81

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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.