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Finding the Fourth Proportional to 355,697.20, 533,363.40 and 106,346.80

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Solution

The fourth proportional to 355,697.20, 533,363.40 and 106,346.80 is: 159,465.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,697.20 : 533,363.40 = 106,346.80 : x
  2. Step 2: Convert to fraction form
    355,697.20/533,363.40 = 106,346.80/x
  3. Step 3: Cross multiply
    355,697.20x = 533,363.40 × 106,346.80
  4. Step 4: Simplify right side
    355,697.20x = 56,721,490,827.12
  5. Step 5: Solve for x
    x = 56,721,490,827.12/355,697.20
  6. Step 6: Final answer
    x = 159,465.67

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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.