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Finding the Fourth Proportional to 560,222.40, 840,205.44 and 160,860

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Solution

The fourth proportional to 560,222.40, 840,205.44 and 160,860 is: 241,253.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,222.40 : 840,205.44 = 160,860 : x
  2. Step 2: Convert to fraction form
    560,222.40/840,205.44 = 160,860/x
  3. Step 3: Cross multiply
    560,222.40x = 840,205.44 × 160,860
  4. Step 4: Simplify right side
    560,222.40x = 135,155,447,078.40
  5. Step 5: Solve for x
    x = 135,155,447,078.40/560,222.40
  6. Step 6: Final answer
    x = 241,253.20

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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.