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Finding the Fourth Proportional to 615,686.40, 923,558.40 and 194,995.20

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Solution

The fourth proportional to 615,686.40, 923,558.40 and 194,995.20 is: 292,501.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,686.40 : 923,558.40 = 194,995.20 : x
  2. Step 2: Convert to fraction form
    615,686.40/923,558.40 = 194,995.20/x
  3. Step 3: Cross multiply
    615,686.40x = 923,558.40 × 194,995.20
  4. Step 4: Simplify right side
    615,686.40x = 180,089,454,919.68
  5. Step 5: Solve for x
    x = 180,089,454,919.68/615,686.40
  6. Step 6: Final answer
    x = 292,501.92

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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.