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Finding the Fourth Proportional to 524,204.16, 785,023.20 and 243,801.60

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Solution

The fourth proportional to 524,204.16, 785,023.20 and 243,801.60 is: 365,105.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,204.16 : 785,023.20 = 243,801.60 : x
  2. Step 2: Convert to fraction form
    524,204.16/785,023.20 = 243,801.60/x
  3. Step 3: Cross multiply
    524,204.16x = 785,023.20 × 243,801.60
  4. Step 4: Simplify right side
    524,204.16x = 191,389,912,197.12
  5. Step 5: Solve for x
    x = 191,389,912,197.12/524,204.16
  6. Step 6: Final answer
    x = 365,105.67

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1.5x scale

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.